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greens: fix RhoOrbStabChain(DClass) #932

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Jun 25, 2023
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greens: fix RhoOrbStabChain(DClass) #932

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2 changes: 1 addition & 1 deletion gap/greens/acting.gi
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Original file line number Diff line number Diff line change
Expand Up @@ -456,7 +456,7 @@ end);

InstallMethod(RhoOrbStabChain, "for a D-class of an acting semigroup",
[IsGreensDClass and IsActingSemigroupGreensClass],
D -> RhoOrbStabChain(GreensLClassOfElementNC(D, Representative(D))));
D -> RhoOrbStabChain(GreensLClassOfElementNC(D, D!.rep)));

# same method for regular, not required for inverse, same for ideals

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18 changes: 17 additions & 1 deletion tst/standard/greens/acting.tst
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Original file line number Diff line number Diff line change
Expand Up @@ -11,7 +11,7 @@
#@local BruteForceInverseCheck, BruteForceIsoCheck, CheckLeftGreensMultiplier1
#@local CheckLeftGreensMultiplier2, CheckRightGreensMultiplier1
#@local CheckRightGreensMultiplier2, D, DD, DDD, H, L, L3, LL, R, RR, RRR, S, T
#@local a, acting, b, d, en, h, inv, it, iter, map, mults, nr, r, x, y
#@local a, acting, b, c, d, e, en, h, inv, it, iter, map, mults, nr, r, x, y
gap> START_TEST("Semigroups package: standard/greens/acting.tst");
gap> LoadPackage("semigroups", false);;

Expand Down Expand Up @@ -2012,6 +2012,22 @@ gap> mults := List(HClassReps(LClass(T, d)), h -> LeftGreensMultiplierNC(T, d, h
gap> Length(Set(mults, m -> RClass(T, m * d))) = Length(RClasses(D));
true

# Fix issue #931 (bug in RhoOrbStabChain(DClass) using the wrong representative
gap> S := Monoid(Transformation([3, 2, 3, 3, 5, 5]),
> Transformation([5, 4, 4, 5, 1, 4]),
> Transformation([1, 1, 5, 3, 3]),
> Transformation([4, 5, 6, 4, 1, 4]),
> Transformation([5, 1, 2, 1, 6, 5]));
<transformation monoid of degree 6 with 5 generators>
gap> e := Transformation([1, 6, 6, 1, 5, 6]);
Transformation( [ 1, 6, 6, 1, 5, 6 ] )
gap> c := Transformation([6, 1, 1, 6, 5, 1]);
Transformation( [ 6, 1, 1, 6, 5, 1 ] )
gap> c in DClass(S, e);
true
gap> c in HClass(S, e);
true

#
gap> SEMIGROUPS.StopTest();
gap> STOP_TEST("Semigroups package: standard/greens/acting.tst");
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