[GAP Forum] A strange error about group rings and alegbras

[Alper Odabas]

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) ]

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 All the best,
 Alper