[GAP Forum] [GAP Support] Help

[Thomas Breuer]

Dear GAP Forum,

the set of element orders of the general linear group GL(2,q),
where q is a power of the prime p,
is the union of all divisors of p*(q-1) and of q^2-1.

All the best,
Thomas


On Wed, Apr 30, 2014 at 07:54:11AM -0600, Alexander Hulpke wrote:
> Dear Forum, Dear Iman Karoubi,
> 
> On Apr 28, 2014, at 9:49 AM, Iman Karoubi <iman3369 at gmail.com> wrote:
> > I want to compute the order set of GL(2,19^2) "a Group" but the size of
> > this group is very large please help me .
> 
> g:=GL(2,19^2);
> cl:=ConjugacyClasses(g);;
> ords:=List(cl,x->Order(Representative(x)));
> Set(ords);
> 
> will finish in a few minutes.
> 
> Regards,
> 
>    Alexander Hulpke