Endotrivial modules for the sporadic simple groups and their covers

Caroline Lassueur; Nadia Mazza

doi:10.1016/j.jpaa.2015.02.014

paper

Endotrivial modules for the sporadic simple groups and their covers

arXiv:1502.05896 · doi:10.1016/j.jpaa.2015.02.014

Abstract

In a step towards the classification of endotrivial modules for quasi-simple groups, we investigate endotrivial modules for the sporadic simple groups and their covers. A main outcome of our study is the existence of torsion endotrivial modules with dimension greater than one for several sporadic groups with $p$ -rank greater than one.

in Journal of Pure and Applied Algebra, published online 19th February 2015