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Remove spurious depdendency on smallgrps library #10

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fingolfin merged 2 commits into from
Apr 24, 2026
Merged

Remove spurious depdendency on smallgrps library #10

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bbc4d12
Remove spurious depdendency on smallgrps library
fingolfin Apr 23, 2026
d228f99
Adjust examples
fingolfin Apr 23, 2026
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8 changes: 4 additions & 4 deletions doc/examples.tex
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Original file line number Diff line number Diff line change
Expand Up @@ -100,7 +100,7 @@

We could also have started with a pc group or a nice enough matrix group.
\beginexample
gap> s4 := SmallGroup(IdGroup(G));
gap> s4 := SymmetricGroup(IsPcGroup, 4);
<pc group of size 24 with 4 generators>
\endexample
This is $S_4$ again. The answers just look different now.
Expand All @@ -113,7 +113,7 @@
\beginexample
gap> sl := SpecialLinearGroup(2,3);
SL(2,3)
gap> h := SmallGroup(IdGroup(sl));
gap> h := PcGroupWithPcgs(Pcgs(sl));
<pc group of size 24 with 4 generators>
\endexample
We get the following subgroups.
Expand Down Expand Up @@ -157,7 +157,7 @@
\beginexample
gap> ResidualWrtFormation(G, form); ResidualWrtFormation(G, form2);
Group(())
Group([ (1,3)(2,4), (1,2)(3,4) ])
Group([ (1,2)(3,4), (1,3)(2,4) ])
gap> KnownPropertiesOfObject(form2);
[ ]
\endexample
Expand Down Expand Up @@ -242,7 +242,7 @@
\beginexample
gap> SetIsIntegrated(form, true);
gap> ResidualWrtFormation(G, form);
Group([ (1,4)(2,3), (1,2)(3,4) ])
Group([ (1,2)(3,4), (1,3)(2,4) ])
gap> FNormalizerWrtFormation(G, form);
Group([ (3,4), (2,4,3) ])
gap> CoveringSubgroup1(G, form);
Expand Down
8 changes: 4 additions & 4 deletions tst/manual.example-6.tst
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Expand Up @@ -34,14 +34,14 @@ gap> ComputedCoveringSubgroup2s(G);
gap> ComputedCoveringSubgroup1s(G);
[ formation of Nilpotent groups, Group([ (3,4), (1,3)(2,4), (1,2)(3,4) ]),
formation of Supersolvable groups, Group([ (3,4), (2,4,3) ]) ]
gap> s4 := SmallGroup(IdGroup(G));
gap> s4 := SymmetricGroup(IsPcGroup, 4);
<pc group of size 24 with 4 generators>
gap> SystemNormalizer(s4); CarterSubgroup(s4);
Group([ f1 ])
Group([ f1, f4, f3*f4 ])
gap> sl := SpecialLinearGroup(2,3);
SL(2,3)
gap> h := SmallGroup(IdGroup(sl));
gap> h := PcGroupWithPcgs(Pcgs(sl));
<pc group of size 24 with 4 generators>
gap> CarterSubgroup(sl); Size(last);
<group of 2x2 matrices over GF(3)>
Expand Down Expand Up @@ -69,7 +69,7 @@ gap> KnownAttributesOfObject(form2);
[ "NameOfFormation", "ScreenOfFormation", "ResidualFunctionOfFormation" ]
gap> ResidualWrtFormation(G, form); ResidualWrtFormation(G, form2);
Group(())
Group([ (1,4)(2,3), (1,2)(3,4) ])
Group([ (1,2)(3,4), (1,3)(2,4) ])
gap> KnownPropertiesOfObject(form2);
[ ]
gap> Integrated(form2);
Expand Down Expand Up @@ -115,7 +115,7 @@ gap> KnownAttributesOfObject(form); KnownPropertiesOfObject(form);
[ ]
gap> SetIsIntegrated(form, true);
gap> ResidualWrtFormation(G, form);
Group([ (1,4)(2,3), (1,2)(3,4) ])
Group([ (1,2)(3,4), (1,3)(2,4) ])
gap> FNormalizerWrtFormation(G, form);
Group([ (3,4), (2,4,3) ])
gap> CoveringSubgroup1(G, form);
Expand Down