Title: Endotrivial modules in the cyclic case

Abstract:

The purpose of this note is to determine all endotrivial modules in 
prime characteristic~$p$, for a finite group having a cyclic Sylow $p$-subgroup. 
In other words, we describe completely the group of  endotrivial modules in that case.

The endotrivial modules are a family of finitely generated modules  for a group algebra of a finite
group which appear naturally in modular representation theory.  
Several contributions towards a general classification have already  been obtained.

Authors: 

Nadia Mazza, Department of Mathematical Sciences, Meston Building, University of Aberdeen, Aberdeen AB24 3UE, Scotland.

Jacques Th\'evenaz, Institut de G\'eom\'etrie, Alg\`ebre et Topologie, EPFL, B\^atiment BCH, CH-1015 Lausanne, Switzerland. 

Status: to appear in Archiv der Mathematik.