Endotrivial modules for the sporadic simple groups and their covers

preprint2015arXivOpen access

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 pp-rank greater than one.

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