[GAP Forum] bug with semidirect product?

[Vdovin Evgeni]

Dear Forum!

When I try to construct semidirect product GL_2(9)*GF(9)^2, it returns a 
group with GF(3)^2 as a normal subgroup (see the listing below).

gap> V:=GF(9)^2;
( GF(3^2)^2 )
gap> G:=GeneralLinearGroup(2,9);
GL(2,9)
gap> p:=SemidirectProduct(G,V);
<matrix group of size 466560 with 3 generators>
gap> L:=Image(Embedding(p,1));
Group(
[ [ [ Z(3^2), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 
0*Z(3),
           Z(3)^0 ] ],
  [ [ Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3),
           Z(3)^0 ] ] ])
gap> U:=Image(Embedding(p,2));
Group(
[ [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3)^0, 
0*Z(3),
           Z(3)^0 ] ],
  [ [ Z(3)^0, 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3) ],
      [ 0*Z(3), Z(3)^0, Z(3)^0 ] ] ])
gap> Order(U);
9

Can anybody explain, what is wrong here?

-- 
Best Regards
Vdovin Evgenii
Institute of Mathematics
pr-t Acad. Koptyug, 4
630090, Novosibirsk, Russia
Office    +7 383 3333495
Home      +7 383 2644892
Cellular  +7 913 9475524
Fax       +7 383 3332598