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Torsion free
endotrivial modules for finite groups of Lie type
Jon F. Carlson, Jesper Grodal, Nadia Mazza and Daniel K. Nakano |
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Vol. 317 (2022), No. 2, 239–274
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Abstract |
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We determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and nondefining characteristic. Equivalently, we classify the maximal rank elementary abelian -subgroups in any finite group of Lie type, for any prime . This classification may be of independent interest. |
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Keywords
endotrivial modules, elementary abelian subgroups, finite
groups of Lie type
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Mathematical Subject Classification
Primary: 20C20, 20C33
Secondary: 20E15
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Milestones
Received: 12 August 2021
Revised: 16 December 2021
Accepted: 18 March 2022
Published: 14 July 2022
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Authors |
| Jon F. Carlson | |
| Department of Mathematics University of Georgia Department of Mathematics Athens, GA United States |
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| Jesper Grodal | |
| Department of Mathematical
Sciences University of Copenhagen Copenhagen Denmark |
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| Nadia Mazza | |
| Department of Mathematics and
Statistics University of Lancaster Lancaster United Kingdom |
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| Daniel K. Nakano | |
| Department of Mathematics University of Georgia Athens, GA United States |
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