Toward a classification of endotrivial modules
Jon F. Carlson
Abstract. This paper presents a brief survey of some recent work on a classifica-
tion of endotrivial modules over a finite group. Two particular new developments
are highlighted. The first is a characterization of the kernel of the restriction map
of the group of endotrivial modules to certain subgroups by Balmer and a subse-
quent conjecture by the author and Th ́evenaz. The second is a program led by
Lassueur and Malle to classify the simple endotrivial modules over quasi-simple
groups.