[GAP Forum] Adjoint groups of finite rings

[yassine Guerboussa]

Dear colleagues,

Let R be  the ring of integers modulo p^n, p a prime.
Let S be the ideal of the polynomial ring R[X], generated by X^{p+1} and X^p+pX.

Is it possible to do the following calculation in GAP :
1.  Compute the invariants of the additive group of the ring T= XR[X]/S.
2. Compute the series of ideals T^2, T^3,...,  T^p.
3. Compute the invariants of the adjoint group of T. 

Thanks in advance.