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arXiv · 1502.05896

Endotrivial modules for the sporadic simple groups and their covers

Caroline Lassueur·Nadia Mazza
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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.

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Caroline Lassueur, Nadia Mazza. 2015-02-20. Endotrivial modules for the sporadic simple groups and their covers. https://doi.org/10.1016/j.jpaa.2015.02.014

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