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.
Original language | English |
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Journal | Pacific Journal of Mathematics |
Volume | 317 |
Issue number | 2 |
Pages (from-to) | 239-274 |
ISSN | 0030-8730 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- math.GR
- math.RT
- 20C33,