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arXiv · 2005.00507

Torsion Free Endotrivial Modules for Finite Groups of Lie Type

Jon F. Carlson·Jesper Grodal·Nadia Mazza·Daniel K. Nakano
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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 $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$, which may be of independent interest.

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BibTeXRIS

Jon F. Carlson, Jesper Grodal, Nadia Mazza, Daniel K. Nakano. 2020-05-01. Torsion Free Endotrivial Modules for Finite Groups of Lie Type. https://doi.org/10.2140/pjm.2022.317.239

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