Torsion Free Endotrivial Modules for Finite Groups of Lie Type
Group Theory
2022-07-20 v3 Representation Theory
Abstract
In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank elementary abelian -subgroups in any finite group of Lie type, for any prime , which may be of independent interest.
Keywords
Cite
@article{arxiv.2005.00507,
title = {Torsion Free Endotrivial Modules for Finite Groups of Lie Type},
author = {Jon F. Carlson and Jesper Grodal and Nadia Mazza and Daniel K. Nakano},
journal= {arXiv preprint arXiv:2005.00507},
year = {2022}
}