Hi all

I assigment two different variables say G and H for the same group. I expect
that the obtained group rings (and algebars) will be same but the result is
not. ???

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gap> G:=Group((1,2,3));
Group([ (1,2,3) ])
gap> H:=Group((1,2,3));
Group([ (1,2,3) ])
gap> G=H;
true
gap> A:=GroupRing(GF(2),G);
<algebra-with-one over GF(2), with 1 generators>
gap> B:=GroupRing(GF(2),H);
gap> A=B;
false
<algebra-with-one over GF(2), with 1 generators>
gap> Size(A); Size(B);
8
8
gap> GeneratorsOfAlgebra(A); GeberatorsOfAlgebra(B);
[ (Z(2)^0)*(), (Z(2)^0)*(1,2,3) ]
gap> GeneratorsOfAlgebra(A); GeneratorsOfAlgebra(B);
[ (Z(2)^0)*(), (Z(2)^0)*(1,2,3) ]
[ (Z(2)^0)*(), (Z(2)^0)*(1,2,3) ]

----------------------------------


All the best,
Alper


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