Monomial representations and generalizations

Abstract

We study the characteristic p analogue of M-groups, the so-called M p -group Generalizing this notion, we also consider the condition that the modular irreducible representations are induced from representations of dimension < p, or even weaker, of dimension not divisible by p.

On the Monomial Bπ-Character of a Finite π-Separable Group

“…For example, ) 3 , 2 ( SL is an 2 M -group but not an M -group. In [4], Bessenrodt confirmed that p M -groups are solvable. In [5] Hanaki and Hida investigated conditions for p M -groups to be M -groups and proved that if G is p -nilpotent then G is an M -group if and only if G is an p M -group.…”