Motivated by a recent result of Robinson showing that simple endotrivial modules essentially
come from quasi-simple groups we classify such modules for finite special linear and unitary …

We investigate simple endotrivial modules of finite quasi-simple groups and classify them in
several important cases. This is motivated by a recent result of Robinson [Bull. Lond. Math …

We determine the torsion free rank of the group of endotrivial modules for any finite group of
Lie type, in both defining and nondefining characteristic. Equivalently, we classify the …

Let G be a finite group such that SL\nolimits (n, q) ⊆ G ⊆ GL\nolimits (n, q) SL (n, q)⊆ G⊆
GL (n, q) and Z be a central subgroup of G. In this paper we determine the group T (G/Z) …

Criteria for the unitarizability of some highest weight modules Page 1 Proc. Indian Acad. Sci.
(Math. Sol.), Vol. 89, Number 1, January 1980, pp. 1-2d. 9 Printed in India. Criteria for the …

In this paper we determine the group of endotrivial modules for certain symmetric and
alternating groups in characteristic p. If p= 2, then the group is generated by the class of Ωn …

In a step towards the classification of endotrivial modules for quasi-simple groups, we
investigate endotrivial modules for the sporadic simple groups and their covers. A main …

Motivated by the maximal subgroup problem of the finite classical groups we begin the
classification of imprimitive irreducible modules of finite quasisimple groups. We obtain our …

VERTICES OF SIMPLE MODULES FOR SYMMETRIC GROUPS: A SURVEY 1. Introduction
Let F be a field, G a finite group and FG the group al Page 1 Proceedings of the International …

Abstract In 1982 P. Fong and B. Srinivasan published a paper [12] on the blocks of the finite
general linear and unitary groups, which revealed the surprising fact that block theory and …