[GAP Forum] Orbits of Modular actions

[Vince Giambalvo]

Dear Forum,
The action of GL(n, Z/p) on the vector space of dimension n over Z/p  
extends by multiplication to an action on the polynomial algebra with
n variables. I would like to compute the orbits, or equivalently, the  
stabilizers of the action on the polynomials of some fixed small degree
(for example 2).  But I cannot (with my limited GAP knowledge) figure  
out how to set this up. Any hints?
Thanks for your help.
       Vince