We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


97% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Endotrivial modules for the symmetric and alter...
View graph of relations

« Back

Endotrivial modules for the symmetric and alternating groups.

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>02/2009
<mark>Journal</mark>Proceedings of the Edinburgh Mathematical Society
Number of pages22
<mark>Original language</mark>English


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.