Simple endotrivial modules for quasi-simple groups

Abstract

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 showing that simple endotrivial modules of most groups come from quasi-simple groups.

arXiv comment31 pages. Changes from (v1): in Theorem 1.3, we removed the assumption that G<SL and proved that endotrivial modules are liftable to characteristic zero in all generality. (v3): revised version, to appear in Journal für die Reine und Angewandte Mathematik

Cited by in corpus (2)

• Irreducible characters of finite simple groups constant at the p-singular elements
• Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups