Trivial-source endotrivial modules for sporadic groups

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
65 Downloads (Pure)

Abstract

We determine the group of endotrivial modules (as an abstract group) for G a (quasi)simple group of sporadic type, extending previous results in the literature. In many sporadic cases we directly construct the subgroup of trivial-source endotrivial modules. We also resolve the question of whether certain simple modules for sporadic groups are endotrivial, posed by Lassueur, Malle and Schulte, in the majority of open cases. The results rely heavily on a recent description of the group of trivial-source endotrivial modules due to Grodal.
Original languageEnglish
JournalBeitrage zur Algebra und Geometrie
Early online date19 Aug 2020
DOIs
Publication statusE-pub ahead of print - 19 Aug 2020

Keywords

  • Endotrivial module
  • Representation theory
  • Sporadic groups
  • Trivial-source module

Fingerprint

Dive into the research topics of 'Trivial-source endotrivial modules for sporadic groups'. Together they form a unique fingerprint.

Cite this