KatharinaArtic On conjugacy closed loops and conjugacy closed loop folders RWTH Aachen University 2015
R.Artzy On automorphic-inverse properties in loops Proc. Amer. Math. Soc. 1959 10 588–591 0002-9939 0107674 (21 #6397) 20.00 H. Minc Proceedings of the American Mathematical Society
Dylene Agda SouzaDe Barros AlexanderGrishkov PetrVojtěchovský Commutative automorphic loops of order <C><M>p^3</M></C> J. Algebra Appl. 2012 11 5 1250100, 15 0219-4988 2983192 20N05 (20G40) Ágota Figula http://dx.doi.org/10.1142/S0219498812501009 10.1142/S0219498812501009 Journal of Algebra and its Applications
Richard HubertBruck A survey of binary systems Springer Verlag 1958 Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 20. Reihe: Gruppentheorie
Berlin
0093552 (20 #76) 20.00 L. J. Paige viii+185
R. H.Bruck Lowell J.Paige Loops whose inner mappings are automorphisms Ann. of Math. (2) 1956 63 308–323 0003-486X 0076779 20.0X R. Moufang Annals of Mathematics. Second Series
O.Chein H. O.Pflugfelder J. D. H.Smith Quasigroups and loops: theory and applications Heldermann Verlag 1990 8 Sigma Series in Pure Mathematics
Berlin
3-88538-008-0 1125806 (93g:20133) 20N05 (20-06) D. A. Robinson xii+568
Charles J.Colbourn AlexanderRosa Triple systems The Clarendon Press Oxford University Press 1999 Oxford Mathematical Monographs
New York
0-19-853576-7 1843379 (2002h:05024) 05B07 (05-02) Elizabeth J. Billington xvi+560
PiroskaCsörgő AlešDrápal Left conjugacy closed loops of nilpotency class two Results Math. 2005 47 3-4 242–265 1422-6383 2153496 (2006b:20095) 20N05 Huberta Lausch Results in Mathematics. Resultate der Mathematik
DanielDaly PetrVojtěchovský Enumeration of nilpotent loops via cohomology J. Algebra 2009 322 11 4080–4098 0021-8693 2556139 (2011e:20098) 20N05 (20J99) Yu. M. Movsisyan http://dx.doi.org/10.1016/j.jalgebra.2009.03.042 JALGA4 10.1016/j.jalgebra.2009.03.042 Journal of Algebra
AlešDrápal Cyclic and dihedral constructions of even order Comment. Math. Univ. Carolin. 2003 44 4 593–614 MR2062876 (2005d:20038) 20D60 (05B15) Thomas Michael Keller Commentationes Mathematicae Universitatis Carolinae
AlešDrápal PetrVojtěchovský Moufang loops that share associator and three quarters of their multiplication tables Rocky Mountain J. Math. 2006 36 2 425–455 0035-7596 2234814 (2007d:20114) 20N05 (05B15) Orin Chein http://dx.doi.org/10.1216/rmjm/1181069461 RMJMAE 10.1216/rmjm/1181069461 The Rocky Mountain Journal of Mathematics
FerencFenyves Extra loops. <C>II</C>. <C>O</C>n loops with identities of <C>B</C>ol-<C>M</C>oufang type Publ. Math. Debrecen 1969 16 187–192 0033-3883 0262409 (41 #7017) 20.95 D. A. Robinson Publicationes Mathematicae Debrecen
Edgar G.Goodaire SeanMay MaitreyiRaman The <C>M</C>oufang loops of order less than 64 Nova Science Publishers Inc. 1999
Commack, NY
1-56072-659-8 1689624 (2000a:20147) 20N05 xviii+287
AlexanderGrishkov MichaelKinyon Gábor P.Nagy Solvability of commutative automorphic loops Proc. Amer. Math. Soc. 2014 142 9 3029–3037 0002-9939 3223359 20N05 (17B99) J. D. Phillips http://dx.doi.org/10.1090/S0002-9939-2014-12053-3 10.1090/S0002-9939-2014-12053-3 Proceedings of the American Mathematical Society
Mark T.Jacobson PeterMatthews Generating uniformly distributed random <C>L</C>atin squares J. Combin. Des. 1996 4 6 405–437 1063-8539 1410617 (98b:05021) 05B15 (60J10) Lars Døvling Andersen http://dx.doi.org/10.1002/(SICI)1520-6610(1996)4:6<405::AID-JCD3>3.0.CO;2-J 10.1002/(SICI)1520-6610(1996)4:6<405::AID-JCD3>3.0.CO;2-J Journal of Combinatorial Designs
P{\v{r}}emyslJedlička MichaelKinyon PetrVojtěchovský Nilpotency in automorphic loops of prime power order J. Algebra 2012 350 64–76 0021-8693 2859875 20N05 Mohammad Shahryari http://dx.doi.org/10.1016/j.jalgebra.2011.09.034 JALGA4 10.1016/j.jalgebra.2011.09.034 Journal of Algebra
Kenneth W.Johnson Michael K.Kinyon Gábor P.Nagy PetrVojtěchovský Searching for small simple automorphic loops LMS J. Comput. Math. 2011 14 200–213 1461-1570 2831230 20N05 (20B15 20B40) Tuval S. Foguel http://dx.doi.org/10.1112/S1461157010000173 10.1112/S1461157010000173 LMS Journal of Computation and Mathematics
Michael K.Kinyon KennethKunen J. D.Phillips Every diassociative <C><M>A</M></C>-loop is <C>M</C>oufang Proc. Amer. Math. Soc. 2002 130 3 619–624 0002-9939 1866009 (2002k:20124) 20N05 (68T15) Orin Chein http://dx.doi.org/10.1090/S0002-9939-01-06090-7 PAMYAR 10.1090/S0002-9939-01-06090-7 Proceedings of the American Mathematical Society
Michael K.Kinyon KennethKunen J. D.Phillips PetrVojtěchovský The structure of automorphic loops Trans. Amer. Math. Soc. 2016 368 12 8901–8927 0002-9947 3551593 20N05 http://dx.doi.org/10.1090/tran/6622 TAMTAM 10.1090/tran/6622 Transactions of the American Mathematical Society
Michael K.Kinyon Gábor P.Nagy PetrVojtěchovský Bol loops and Bruck loops of order <M>pq</M> 2015 preprint
KennethKunen The structure of conjugacy closed loops Trans. Amer. Math. Soc. 2000 352 6 2889–2911 0002-9947 1615991 (2000j:20132) 20N05 (03C05) Edgar G. Goodaire http://dx.doi.org/10.1090/S0002-9947-00-02350-3 TAMTAM 10.1090/S0002-9947-00-02350-3 Transactions of the American Mathematical Society
Martin W.Liebeck The classification of finite simple <C>M</C>oufang loops Math. Proc. Cambridge Philos. Soc. 1987 102 1 33–47 0305-0041 886433 (88g:20146) 20N05 Karl H. Robinson http://dx.doi.org/10.1017/S0305004100067025 MPCPCO 10.1017/S0305004100067025 Mathematical Proceedings of the Cambridge Philosophical Society
G. EricMoorhouse Bol loops of small order http://www.uwyo.edu/moorhouse/pub/bol/
Gábor P.Nagy A class of simple proper <C>B</C>ol loops Manuscripta Math. 2008 127 1 81–88 0025-2611 2429915 (2009g:20149) 20N05 Ramiro Carrillo-Catalán http://dx.doi.org/10.1007/s00229-008-0188-5 MSMHB2 10.1007/s00229-008-0188-5 Manuscripta Mathematica
Gábor P.Nagy PetrVojtěchovský Octonions, simple <C>M</C>oufang loops and triality Quasigroups Related Systems 2003 10 65–94 1561-2848 1998692 (2004f:20118) 20N05 (17A75) Orin Chein Quasigroups and Related Systems
Gábor P.Nagy PetrVojtěchovský The <C>M</C>oufang loops of order 64 and 81 J. Symbolic Comput. 2007 42 9 871–883 0747-7171 2355056 (2009d:20155) 20N05 (20D15) Chris A. Rowley http://dx.doi.org/10.1016/j.jsc.2007.06.004 10.1016/j.jsc.2007.06.004 Journal of Symbolic Computation
Hala O.Pflugfelder Quasigroups and loops: introduction Heldermann Verlag 1990 7 Sigma Series in Pure Mathematics
Berlin
3-88538-007-2 1125767 (93g:20132) 20N05 (20-01) D. A. Robinson viii+147
J. D.Phillips PetrVojtěchovský The varieties of loops of <C>B</C>ol-<C>M</C>oufang type Algebra Universalis 2005 54 3 259–271 0002-5240 2219409 (2007b:20147) 20N05 A. Schleiermacher http://dx.doi.org/10.1007/s00012-005-1941-1 AGUVA3 10.1007/s00012-005-1941-1 Algebra Universalis
M.Slattery A.Zenisek Moufang loops of order 243 Commentationes Mathematicae Universitatis Carolinae 2012 53 3 423–428
PetrVojtěchovský Toward the classification of <C>M</C>oufang loops of order 64 European J. Combin. 2006 27 3 444–460 0195-6698 2206479 (2006k:20136) 20N05 Orin Chein http://dx.doi.org/10.1016/j.ejc.2004.10.003 10.1016/j.ejc.2004.10.003 European Journal of Combinatorics
PetrVojtěchovský Three lectures on automorphic loops Quasigroups Related Systems 2015 23 1 129–163 1561-2848 3353114 20N05 Ágota Figula Quasigroups and Related Systems
Robert L.Wilson Jr. Quasidirect products of quasigroups Comm. Algebra 1975 3 9 835–850 0092-7872 0376937 (51 #13112) 20N05 D. A. Robinson Communications in Algebra