The study of group rings of soluble groups of finite rank and modules over them was begun
with famous papers of P. Hall [13, 14], where he obtained the first results on this subject …

We derive a Murnaghan–Nakayama type formula for the values of unipotent characters of
finite classical groups on regular semisimple elements. This relies on Asai's explicit …

By a proper cover of a finite group G we mean an extension of a nontrivial finite group by G.
We study element orders in proper covers of a finite simple group L of Lie type and prove …

Let K be a field of characteristic p. The permutation modules associated to partitions of n,
usually denoted as Mλ, play a central role not only for symmetric groups but also for general …

We look in this paper at representations of Lie algebras of simple reductive groups in prime
characteristic. We investigate those modules that have a subregular nilpotent $ p …

Borovik found a Lie primitive subgroup of E8 (ℂ) isomorphic to (Alt5× Sym6): 2. In this note,
we provide a short proof of existence and his result that the conjugacy class of this subgroup …

We shall show that these correspondents are not arbitrary modules, but have a strong
property with respect to specializations (see Corollary 2.8) which ensures that they belong to …

The notion of adequate subgroups was introduced by Thorne (J Inst Math Jussieu. arXiv:
1107.5989, to appear). It is a weakening of the notion of big subgroup used by Wiles and …

Abstract Suppose P=∏ IG i is a direct product of slender R-modules. If| I| is non-measurable
and A is a direct summand of P, then A≅∏ JA j where each A j is isomorphic to a direct …

Let F be an algebraically closed® eld of characteristic p, and n be the symmetric group on n
letters. In this paper we classify all pairs G, D, where D is an irreducible F n-module of …