%0 Journal Article
%T On the vertices of indecomposable summands of certain Lefschetz modules
%A John Maginnis
%A Silvia Onofrei
%J Mathematics
%D 2011
%I arXiv
%X We study the reduced Lefschetz module of the complex of p-radical and p-centric subgroups. We assume that the underlying group G has parabolic characteristic p and the centralizer of a certain noncentral p-element has a component with central quotient H a finite group of Lie type in characteristic p. A non-projective indecomposable summand of the associated Lefschetz module lies in a non-principal block of G and it is a Green correspondent of an inflated, extended Steinberg module for a Lie subgroup of H. The vertex of this summand is the defect group of the block in which it lies.
%U http://arxiv.org/abs/1109.5761v1