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Reworked the example. Avoiding the AtlasGroup command makes it much h…
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…arder

as SU gives a group on >>325 points. Also construct the subgroup directly to avoid homomorphism
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hulpke committed Jun 28, 2018
1 parent 3882b9d commit d34c12f
Showing 1 changed file with 14 additions and 4 deletions.
18 changes: 14 additions & 4 deletions tst/testbugfix/2018-05-24-IntermediateSubgroups.tst
Original file line number Diff line number Diff line change
@@ -1,11 +1,21 @@
# test for MaximalSubgroupClassReps with options (reported through
# observation by S.Alavi with IntermediateGroup
# More complicated to construct w/o AtlasSubgroup to ensure the 325 points action, as it is too
# slow otherwise. Also construct the smaller subgroup s1 directly.
# Finally do not slow down with assertions that don't need testing here

gap> g:= SU(IsPermGroup,4,4);; Size( g );
gap> SetAssertionLevel(0);;
gap> g:=SU(IsPermGroup,4,4);;
gap> sy:=SylowSubgroup(g,2);;
gap> n:=Filtered(NormalSubgroups(sy),x->IsAbelian(x) and Size(x)=256);;
gap> sub:=Normalizer(g,n[1]);;
gap> g:=Action(g,RightTransversal(g,sub),OnRight);;
gap> NrMovedPoints(g);Size(g);
325
1018368000
gap> h:= Image( IsomorphismPermGroup( PSL(2,16) ) );;
gap> l:=IsomorphicSubgroups(g,h);;
gap> s1:= Image( l[1] );; Size( s1 );
gap> s:=Stabilizer(g,1);;
gap> s1:=Complementclasses(s,RadicalGroup(s));;
gap> s1:=s1[1];;Size(s1);
4080
gap> n1:= Normalizer( g, s1 );; Size( n1 );
24480
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