36 lines
1.1 KiB
Scilab
36 lines
1.1 KiB
Scilab
#############################################################################
|
|
##
|
|
#W bol.tst Testing Bol loops G. P. Nagy / P. Vojtechovsky
|
|
##
|
|
#H @(#)$Id: iso.tst, v 3.0.0 2015/06/05 gap Exp $
|
|
##
|
|
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
|
|
#Y P. Vojtechovsky (University of Denver, USA)
|
|
##
|
|
|
|
gap> START_TEST("LOOPS, bol: testing methods for Bol loops");
|
|
|
|
# TESTING ASSOCIATED BRUCK LOOPS
|
|
|
|
gap> Q := LeftBolLoop(15,2);;
|
|
gap> B := AssociatedLeftBruckLoop(Q);;
|
|
gap> IsomorphismLoops(B,LeftBolLoop(15,1));
|
|
(7,9,10,8)(12,13,15,14)
|
|
|
|
gap> Q := RightBolLoop(15,1);;
|
|
gap> AssociatedRightBruckLoop( Q );
|
|
<right Bruck loop of order 15>
|
|
|
|
# TESTING EXACT GROUP FACTORIZATIONS
|
|
|
|
gap> G := SymmetricGroup( 5 );;
|
|
gap> H1 := Subgroup( G, [(1,2),(1,3),(1,4)] );;
|
|
gap> H2 := Subgroup(G,[(1,2,3,4,5)]);;
|
|
gap> IsExactGroupFactorization(G,H1,H2);
|
|
true
|
|
gap> RightBolLoopByExactGroupFactorization(G,H1,H2); RightBolLoopByExactGroupFactorization([G,H1,H2]);
|
|
<loop of order 120>
|
|
<loop of order 120>
|
|
|
|
gap> STOP_TEST( "bol.tst", 10000000 );
|