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<title>GAP (Loops) - References</title>
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<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1</a> <a href="chap2_mj.html">2</a> <a href="chap3_mj.html">3</a> <a href="chap4_mj.html">4</a> <a href="chap5_mj.html">5</a> <a href="chap6_mj.html">6</a> <a href="chap7_mj.html">7</a> <a href="chap8_mj.html">8</a> <a href="chap9_mj.html">9</a> <a href="chapA_mj.html">A</a> <a href="chapB_mj.html">B</a> <a href="chapBib_mj.html">Bib</a> <a href="chapInd_mj.html">Ind</a> </div>
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<p><a id="X7A6F98FD85F02BFE" name="X7A6F98FD85F02BFE"></a></p>
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<h3>References</h3>
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<p><a id="biBArtic" name="biBArtic"></a></p>
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<p class='BibEntry'>
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[<span class='BibKey'>Art15</span>] <b class='BibAuthor'>Artic, K.</b>,
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<i class='BibTitle'>On conjugacy closed loops and conjugacy closed loop folders</i>,
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<span class='BibType'>Ph.D. thesis</span>,
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<span class='BibSchool'>RWTH Aachen University</span>
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(<span class='BibYear'>2015</span>).
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</p>
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<p><a id="biBAr" name="biBAr"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0107674">Art59</a></span>] <b class='BibAuthor'>Artzy, R.</b>,
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<i class='BibTitle'>On automorphic-inverse properties in loops</i>,
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<span class='BibJournal'>Proc. Amer. Math. Soc.</span>,
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<em class='BibVolume'>10</em>
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||
(<span class='BibYear'>1959</span>),
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||
<span class='BibPages'>588–591</span>.
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</p>
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<p><a id="biBBr" name="biBBr"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0093552">Bru58</a></span>] <b class='BibAuthor'>Bruck, R. H.</b>,
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||
<i class='BibTitle'>A survey of binary systems</i>,
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||
<span class='BibPublisher'>Springer Verlag</span>,
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||
<span class='BibSeries'>Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge,
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||
Heft 20. Reihe: Gruppentheorie</span>,
|
||
<span class='BibAddress'>Berlin</span>
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||
(<span class='BibYear'>1958</span>),
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||
<span class='BibPages'>viii+185 pages</span>.
|
||
</p>
|
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|
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|
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<p><a id="biBBrPa" name="biBBrPa"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0076779">BP56</a></span>] <b class='BibAuthor'>Bruck, R. H. and Paige, L. J.</b>,
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||
<i class='BibTitle'>Loops whose inner mappings are automorphisms</i>,
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||
<span class='BibJournal'>Ann. of Math. (2)</span>,
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||
<em class='BibVolume'>63</em>
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||
(<span class='BibYear'>1956</span>),
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||
<span class='BibPages'>308–323</span>.
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</p>
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|
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|
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<p><a id="biBCoRo" name="biBCoRo"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1843379">CR99</a></span>] <b class='BibAuthor'>Colbourn, C. J. and Rosa, A.</b>,
|
||
<i class='BibTitle'>Triple systems</i>,
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||
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
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||
<span class='BibSeries'>Oxford Mathematical Monographs</span>,
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||
<span class='BibAddress'>New York</span>
|
||
(<span class='BibYear'>1999</span>),
|
||
<span class='BibPages'>xvi+560 pages</span>.
|
||
</p>
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|
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|
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<p><a id="biBCsDr" name="biBCsDr"></a></p>
|
||
<p class='BibEntry'>
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||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2153496">CD05</a></span>] <b class='BibAuthor'>Csörgő, P. and Drápal, A.</b>,
|
||
<i class='BibTitle'>Left conjugacy closed loops of nilpotency class two</i>,
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||
<span class='BibJournal'>Results Math.</span>,
|
||
<em class='BibVolume'>47</em> (<span class='BibNumber'>3-4</span>)
|
||
(<span class='BibYear'>2005</span>),
|
||
<span class='BibPages'>242–265</span>.
|
||
</p>
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|
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|
||
<p><a id="biBDaVo" name="biBDaVo"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2556139">DV09</a></span>] <b class='BibAuthor'>Daly, D. and Vojtěchovský, P.</b>,
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||
<i class='BibTitle'>Enumeration of nilpotent loops via cohomology</i>,
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||
<span class='BibJournal'>J. Algebra</span>,
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||
<em class='BibVolume'>322</em> (<span class='BibNumber'>11</span>)
|
||
(<span class='BibYear'>2009</span>),
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||
<span class='BibPages'>4080–4098</span>.
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</p>
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|
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<p><a id="biBBaGrVo" name="biBBaGrVo"></a></p>
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<p class='BibEntry'>
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||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2983192">BGV12</a></span>] <b class='BibAuthor'>De Barros, D. A. S., Grishkov, A. and Vojtěchovský, P.</b>,
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<i class='BibTitle'>Commutative automorphic loops of order p^3</i>,
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||
<span class='BibJournal'>J. Algebra Appl.</span>,
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||
<em class='BibVolume'>11</em> (<span class='BibNumber'>5</span>)
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||
(<span class='BibYear'>2012</span>),
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||
<span class='BibPages'>1250100, 15</span>.
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</p>
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<p><a id="biBDrapalCD" name="biBDrapalCD"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=MR2062876">Drá03</a></span>] <b class='BibAuthor'>Drápal, A.</b>,
|
||
<i class='BibTitle'>Cyclic and dihedral constructions of even order</i>,
|
||
<span class='BibJournal'>Comment. Math. Univ. Carolin.</span>,
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||
<em class='BibVolume'>44</em> (<span class='BibNumber'>4</span>)
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||
(<span class='BibYear'>2003</span>),
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||
<span class='BibPages'>593–614</span>.
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||
</p>
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|
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|
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<p><a id="biBDrVo" name="biBDrVo"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2234814">DV06</a></span>] <b class='BibAuthor'>Drápal, A. and Vojtěchovský, P.</b>,
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||
<i class='BibTitle'>Moufang loops that share associator and three quarters of
|
||
their multiplication tables</i>,
|
||
<span class='BibJournal'>Rocky Mountain J. Math.</span>,
|
||
<em class='BibVolume'>36</em> (<span class='BibNumber'>2</span>)
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||
(<span class='BibYear'>2006</span>),
|
||
<span class='BibPages'>425–455</span>.
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||
</p>
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|
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|
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<p><a id="biBFe" name="biBFe"></a></p>
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<p class='BibEntry'>
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||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0262409">Fen69</a></span>] <b class='BibAuthor'>Fenyves, F.</b>,
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||
<i class='BibTitle'>Extra loops. II. On loops with identities of
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||
Bol-Moufang type</i>,
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||
<span class='BibJournal'>Publ. Math. Debrecen</span>,
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||
<em class='BibVolume'>16</em>
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||
(<span class='BibYear'>1969</span>),
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||
<span class='BibPages'>187–192</span>.
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||
</p>
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<p><a id="biBGo" name="biBGo"></a></p>
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<p class='BibEntry'>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1689624">GMR99</a></span>] <b class='BibAuthor'>Goodaire, E. G., May, S. and Raman, M.</b>,
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||
<i class='BibTitle'>The Moufang loops of order less than 64</i>,
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||
<span class='BibPublisher'>Nova Science Publishers Inc.</span>,
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||
<span class='BibAddress'>Commack, NY</span>
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||
(<span class='BibYear'>1999</span>),
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||
<span class='BibPages'>xviii+287 pages</span>.
|
||
</p>
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||
|
||
|
||
<p><a id="biBGreer" name="biBGreer"></a></p>
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||
<p class='BibEntry'>
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||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=3196069">Gre14</a></span>] <b class='BibAuthor'>Greer, M.</b>,
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||
<i class='BibTitle'>A class of loops categorically isomorphic to Bruck loops of
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||
odd order</i>,
|
||
<span class='BibJournal'>Comm. Algebra</span>,
|
||
<em class='BibVolume'>42</em> (<span class='BibNumber'>8</span>)
|
||
(<span class='BibYear'>2014</span>),
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||
<span class='BibPages'>3682–3697</span>.
|
||
</p>
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||
|
||
|
||
<p><a id="biBGrKiNa" name="biBGrKiNa"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=3223359">GKN14</a></span>] <b class='BibAuthor'>Grishkov, A., Kinyon, M. and Nagy, G. P.</b>,
|
||
<i class='BibTitle'>Solvability of commutative automorphic loops</i>,
|
||
<span class='BibJournal'>Proc. Amer. Math. Soc.</span>,
|
||
<em class='BibVolume'>142</em> (<span class='BibNumber'>9</span>)
|
||
(<span class='BibYear'>2014</span>),
|
||
<span class='BibPages'>3029–3037</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBJaMa" name="biBJaMa"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1410617">JM96</a></span>] <b class='BibAuthor'>Jacobson, M. T. and Matthews, P.</b>,
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||
<i class='BibTitle'>Generating uniformly distributed random Latin squares</i>,
|
||
<span class='BibJournal'>J. Combin. Des.</span>,
|
||
<em class='BibVolume'>4</em> (<span class='BibNumber'>6</span>)
|
||
(<span class='BibYear'>1996</span>),
|
||
<span class='BibPages'>405–437</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBJeKiVo" name="biBJeKiVo"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2859875">JKV12</a></span>] <b class='BibAuthor'>Jedlička, P., Kinyon, M. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>Nilpotency in automorphic loops of prime power order</i>,
|
||
<span class='BibJournal'>J. Algebra</span>,
|
||
<em class='BibVolume'>350</em>
|
||
(<span class='BibYear'>2012</span>),
|
||
<span class='BibPages'>64–76</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBJoKiNaVo" name="biBJoKiNaVo"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2831230">JKNV11</a></span>] <b class='BibAuthor'>Johnson, K. W., Kinyon, M. K., Nagy, G. P. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>Searching for small simple automorphic loops</i>,
|
||
<span class='BibJournal'>LMS J. Comput. Math.</span>,
|
||
<em class='BibVolume'>14</em>
|
||
(<span class='BibYear'>2011</span>),
|
||
<span class='BibPages'>200–213</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBKiKuPh" name="biBKiKuPh"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1866009">KKP02</a></span>] <b class='BibAuthor'>Kinyon, M. K., Kunen, K. and Phillips, J. D.</b>,
|
||
<i class='BibTitle'>Every diassociative A-loop is Moufang</i>,
|
||
<span class='BibJournal'>Proc. Amer. Math. Soc.</span>,
|
||
<em class='BibVolume'>130</em> (<span class='BibNumber'>3</span>)
|
||
(<span class='BibYear'>2002</span>),
|
||
<span class='BibPages'>619–624</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBKiKuPhVo" name="biBKiKuPhVo"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=3551593">KKPV16</a></span>] <b class='BibAuthor'>Kinyon, M. K., Kunen, K., Phillips, J. D. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>The structure of automorphic loops</i>,
|
||
<span class='BibJournal'>Trans. Amer. Math. Soc.</span>,
|
||
<em class='BibVolume'>368</em> (<span class='BibNumber'>12</span>)
|
||
(<span class='BibYear'>2016</span>),
|
||
<span class='BibPages'>8901–8927</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBKiNaVo2015" name="biBKiNaVo2015"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKey'>KNV15</span>] <b class='BibAuthor'>Kinyon, M. K., Nagy, G. P. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>Bol loops and Bruck loops of order pq</i>,
|
||
<span class='BibJournal'></span>
|
||
(<span class='BibYear'>2015</span>)<br />
|
||
(<span class='BibNote'>preprint</span>).
|
||
</p>
|
||
|
||
|
||
<p><a id="biBKun" name="biBKun"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1615991">Kun00</a></span>] <b class='BibAuthor'>Kunen, K.</b>,
|
||
<i class='BibTitle'>The structure of conjugacy closed loops</i>,
|
||
<span class='BibJournal'>Trans. Amer. Math. Soc.</span>,
|
||
<em class='BibVolume'>352</em> (<span class='BibNumber'>6</span>)
|
||
(<span class='BibYear'>2000</span>),
|
||
<span class='BibPages'>2889–2911</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBLi" name="biBLi"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=886433">Lie87</a></span>] <b class='BibAuthor'>Liebeck, M. W.</b>,
|
||
<i class='BibTitle'>The classification of finite simple Moufang loops</i>,
|
||
<span class='BibJournal'>Math. Proc. Cambridge Philos. Soc.</span>,
|
||
<em class='BibVolume'>102</em> (<span class='BibNumber'>1</span>)
|
||
(<span class='BibYear'>1987</span>),
|
||
<span class='BibPages'>33–47</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBMo" name="biBMo"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKey'>Moo</span>] <b class='BibAuthor'>Moorhouse, G. E.</b>,
|
||
<i class='BibTitle'>Bol loops of small order</i><br />
|
||
(<span class='BibNote'>http://www.uwyo.edu/moorhouse/pub/bol/</span>).
|
||
</p>
|
||
|
||
|
||
<p><a id="biBNaVo2003" name="biBNaVo2003"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1998692">NV03</a></span>] <b class='BibAuthor'>Nagy, G. P. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>Octonions, simple Moufang loops and triality</i>,
|
||
<span class='BibJournal'>Quasigroups Related Systems</span>,
|
||
<em class='BibVolume'>10</em>
|
||
(<span class='BibYear'>2003</span>),
|
||
<span class='BibPages'>65–94</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBNaVo2007" name="biBNaVo2007"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2355056">NV07</a></span>] <b class='BibAuthor'>Nagy, G. P. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>The Moufang loops of order 64 and 81</i>,
|
||
<span class='BibJournal'>J. Symbolic Comput.</span>,
|
||
<em class='BibVolume'>42</em> (<span class='BibNumber'>9</span>)
|
||
(<span class='BibYear'>2007</span>),
|
||
<span class='BibPages'>871–883</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBPf" name="biBPf"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1125767">Pfl90</a></span>] <b class='BibAuthor'>Pflugfelder, H. O.</b>,
|
||
<i class='BibTitle'>Quasigroups and loops: introduction</i>,
|
||
<span class='BibPublisher'>Heldermann Verlag</span>,
|
||
<span class='BibSeries'>Sigma Series in Pure Mathematics</span>,
|
||
<em class='BibVolume'>7</em>,
|
||
<span class='BibAddress'>Berlin</span>
|
||
(<span class='BibYear'>1990</span>),
|
||
<span class='BibPages'>viii+147 pages</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBPhiVoj" name="biBPhiVoj"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2219409">PV05</a></span>] <b class='BibAuthor'>Phillips, J. D. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>The varieties of loops of Bol-Moufang type</i>,
|
||
<span class='BibJournal'>Algebra Universalis</span>,
|
||
<em class='BibVolume'>54</em> (<span class='BibNumber'>3</span>)
|
||
(<span class='BibYear'>2005</span>),
|
||
<span class='BibPages'>259–271</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBSlZe2011" name="biBSlZe2011"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKey'>SZ12</span>] <b class='BibAuthor'>Slattery, M. and Zenisek, A.</b>,
|
||
<i class='BibTitle'>Moufang loops of order 243</i>,
|
||
<span class='BibJournal'>Commentationes Mathematicae Universitatis Carolinae</span>,
|
||
<em class='BibVolume'>53</em> (<span class='BibNumber'>3</span>)
|
||
(<span class='BibYear'>2012</span>),
|
||
<span class='BibPages'>423–428</span>.
|
||
</p>
|
||
|
||
|
||
<p><a id="biBStuhlVojtechovsky" name="biBStuhlVojtechovsky"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKey'>SV17</span>] <b class='BibAuthor'>Stuhl, I. and Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>Involutory latin quandles, Bruck loops and commutative automorphic
|
||
loops of odd prime power order</i>,
|
||
<span class='BibJournal'></span>
|
||
(<span class='BibYear'>2017</span>)<br />
|
||
(<span class='BibNote'>preprint</span>).
|
||
</p>
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||
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||
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||
<p><a id="biBVo" name="biBVo"></a></p>
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||
<p class='BibEntry'>
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||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2206479">Voj06</a></span>] <b class='BibAuthor'>Vojtěchovský, P.</b>,
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||
<i class='BibTitle'>Toward the classification of Moufang loops of order 64</i>,
|
||
<span class='BibJournal'>European J. Combin.</span>,
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||
<em class='BibVolume'>27</em> (<span class='BibNumber'>3</span>)
|
||
(<span class='BibYear'>2006</span>),
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||
<span class='BibPages'>444–460</span>.
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||
</p>
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||
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||
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||
<p><a id="biBVoQRS" name="biBVoQRS"></a></p>
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<p class='BibEntry'>
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||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=3353114">Voj15</a></span>] <b class='BibAuthor'>Vojtěchovský, P.</b>,
|
||
<i class='BibTitle'>Three lectures on automorphic loops</i>,
|
||
<span class='BibJournal'>Quasigroups Related Systems</span>,
|
||
<em class='BibVolume'>23</em> (<span class='BibNumber'>1</span>)
|
||
(<span class='BibYear'>2015</span>),
|
||
<span class='BibPages'>129–163</span>.
|
||
</p>
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||
|
||
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||
<p><a id="biBWi" name="biBWi"></a></p>
|
||
<p class='BibEntry'>
|
||
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0376937">WJ75</a></span>] <b class='BibAuthor'>Wilson Jr., R. L.</b>,
|
||
<i class='BibTitle'>Quasidirect products of quasigroups</i>,
|
||
<span class='BibJournal'>Comm. Algebra</span>,
|
||
<em class='BibVolume'>3</em> (<span class='BibNumber'>9</span>)
|
||
(<span class='BibYear'>1975</span>),
|
||
<span class='BibPages'>835–850</span>.
|
||
</p>
|
||
|
||
<p> </p>
|
||
|
||
|
||
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