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) …

Suppose that GG is a finite group such that SL (n, q) ⊆ G ⊆ GL (n, q) SL (n, q)⊆ G⊆ GL (n,
q), and that ZZ is a central subgroup of G G. Let T (G/Z) T (G/Z) be the abelian group of …

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 …

51: Ultraproducts and a Corollary to the LogEda Theorem. It is becoming increasingly
evident that in the study of torsion-free abelian groups not only are the pure rank-one …

Let G be a finite group and let T (G) be the abelian group of equivalence classes of
endotrivial k G-modules, where k is an algebraically closed field of characteristic p. We …

The group of endotrivial modules has recently been determined for a finite group having a
normal Sylow p-subgroup. In this paper, we give and compare three different presentations …

Endotrivial modules Page 112 Proceedings of Symposia in Pure Mathematics Volume 86,
2012 Endotrivial modules Jon F. Carlson Abstract. This paper is a survey of the current state of …

We determine the torsion subgroup of the group of endotrivial modules for a finite solvable
group in characteristic $ p $. We also prove that our result would hold for $ p $-solvable …

1. In this note we obtain a partial computation of the group Ext (A, B), where A and B are
torsion-free Abelian groups of finite rank, and give some applications of the results. The …