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Endotrivial modules for the symmetric and alternating groups.

Research output: Contribution to journalJournal article


Journal publication date02/2009
JournalProceedings of the Edinburgh Mathematical Society
Journal number1
Number of pages22
Original languageEnglish


In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic $p$. If $p=2$, then the group is generated by the class of $\Omega^n(k)$ except in a few low degrees. If $p >2$, then the group is only determined for degrees less than $p^2$. In these cases we show that there are several Young modules which are endotrivial.

Bibliographic note

http://journals.cambridge.org/action/displayJournal?jid=UHY The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, © Cambridge University Press.