Endotrivial modules for the symmetric and alternating groups.

Carlson, Jon and Mazza, Nadia and Nakano, Daniel (2009) Endotrivial modules for the symmetric and alternating groups. Proceedings of the Edinburgh Mathematical Society, 52 (1). pp. 45-66. ISSN 0013-0915

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Abstract

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.

Item Type: Journal Article
Journal or Publication Title: Proceedings of the Edinburgh Mathematical Society
Additional Information: 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.
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 20808
Deposited By: Dr Nadia Mazza
Deposited On: 03 Dec 2008 09:45
Refereed?: Yes
Published?: Published
Last Modified: 19 Aug 2019 00:21
URI: https://eprints.lancs.ac.uk/id/eprint/20808

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