Simple endotrivial modules for quasi-simple groups
Group Theory
2013-09-25 v3 Representation Theory
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.
Cite
@article{arxiv.1305.3466,
title = {Simple endotrivial modules for quasi-simple groups},
author = {Caroline Lassueur and Gunter Malle and Elisabeth Schulte},
journal= {arXiv preprint arXiv:1305.3466},
year = {2013}
}
Comments
31 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 f\"ur die Reine und Angewandte Mathematik