[GAP Forum] Faithful representation of GL(V) as permutation of the non-zero vectors in V.

[Peter Brooksbank]

Dear Sergio,

What is the parent group in which your GL(5,3) and Sp(4,3) live? Without
that information one cannot consider their intersection. Also, the 3-part
of the order you stated is larger than the 3-part in the products of the
orders of GL(5,3) and Sp(4,3), so I'm afraid I'm really confused.

Peter


On Fri, Dec 16, 2011 at 2:58 PM, sergio reis <sergio_pez29 at msn.com> wrote:

>
> Dear forum,
>
>
> Let GL(5, 3) x Sp (4, 3). The intersection C of these two groups has order
> 2^14 x 3^23, How do I to construct C using either the faithful
> representation of GL(V) as permutations of the non-zero vectors in V.
>
> thanks.
>
>
> Sérgio Reis Fernandes.
>
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