Spracherkennung für: .tst vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
gap> START_TEST("laguna.tst");
gap> SetInfoLevel(LAGInfo,
0);
#
2013/
05/
27 (Reported by Mohamed Barakat)
# This calculation triggered a break loop.
gap> AugmentationIdeal( GroupRing(GaloisField(
2),SL(
2,
2)) );
<two-sided ideal in <algebra-with-one over GF(
2), with
2 generators>,
(dimension
5)>
#
2013/
06/
21 (Reported by Danjoseph Quijada)
# This wrongly reported 'true' because Augmentation for a zero element of
# the group rings returned an integer, not a zero of the underlying field.
gap> FG:=GroupRing(GF(
2),CyclicGroup(
2));;
gap> IsUnit(FG,Zero(FG));
false
#
2014/
11/
11 (Reported by Urban Jezernik)
gap> g := SmallGroup(
27,
1);;
gap> rng := GroupRing(GF(
3), g);;
gap> u := PcNormalizedUnitGroup(rng);;
gap> emb := Embedding(g, rng);;
gap> f := NaturalBijectionToPcNormalizedUnitGroup(rng);;
gap> (g.
1^emb)^f = ((g.
1^
2)^emb)^f; # were equal, but f should be an isomorphism
false
gap> (g.
1^emb)^f; ((g.
1^
2)^emb)^f;
f1
f1^
2
#
2019/
02/
12 (Reported by Gábor Horváth)
gap> fg := GroupRing(GF(
4), DihedralGroup(
8));;
gap> x := (Z(
2)^
0)*fg.
2*fg.
3+(Z(
2^
2))*fg.
1*fg.
2*fg.
3;;
gap> Inverse(x);
(Z(
2^
2)^
2)*f2+(Z(
2)^
0)*f1*f2*f3
gap> IsOne(x * Inverse(x));
true
#
2022-
02-
21: call to MaximalSubgroupClassReps used to fail
# see
https://github.com/gap-system/gap/issues/3599
gap> R:= GroupRing(GF(
2), SymmetricGroup(
3));
<algebra-with-one over GF(
2), with
2 generators>
gap> UR:= Units(R);
<group with
3 generators>
gap> max:= MaximalSubgroupClassReps(UR);
[ <group of size
6 with
2 generators>, <group of size
6 with
2 generators>,
<group of size
6 with
2 generators>, <group of size
4 with
2 generators> ]
#
gap> SetInfoLevel(LAGInfo,
1);
gap> STOP_TEST( "laguna.tst",
10000 );