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Modular representations of finite groups with trivial restriction to Sylow subgroups

Paul Balmer (2013)

Journal of the European Mathematical Society

Let k be a field of characteristic p . Let G be a finite group of order divisible by p and P a p -Sylow subgroup of G . We describe the kernel of the restriction homomorphism T ( G ) T ( P ) , for T ( ) the group of endotrivial representations. Our description involves functions G k × that we call weak P -homomorphisms. These are generalizations to possibly non-normal P G of the classical homomorphisms G / P k × appearing in the normal case.

Modules over group rings of soluble groups with a certain condition of maximality

Olga Dashkova (2011)

Open Mathematics

Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.

Currently displaying 421 – 440 of 995