Maximal prime homomorphic images of mod-p Iwasawa algebras

Abstract Let k be a finite field of characteristic p , and G compact -adic analytic group. Write kG for the completed group ring over . In this paper, we describe structure / P where is minimal prime ideal We give an explicit isomorphism between matrix with coefficients in ${(k'G')_\alpha }$ $k'/k$ extension, $G'$ large subquotient no normal subgroups, (–) α “twisting” operation that preserves many desirable properties structure. demonstrate usefulness by studying correspondence induced certain ideals those showing useful “group-theoretic” ideals, particular almost-faithfulness control closed subgroup.