Torsion Free Endotrivial Modules for Finite Groups of Lie Type

Jon F. Carlson, Jesper Grodal, Nadia Mazza, Daniel K. Nakano

Research output: Contribution to journalJournal articleResearchpeer-review

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 languageEnglish
JournalPacific Journal of Mathematics
Volume317
Issue number2
Pages (from-to)239-274
ISSN0030-8730
DOIs
Publication statusPublished - 2022

Keywords

  • math.GR
  • math.RT
  • 20C33,

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