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/subjectarea/asjc/2600/2600
Subjects:
?? endotrivial modulesyoung modulessymmetric groupsalternating groupsgeneral mathematicsmathematics(all)qa mathematics ??
Departments:
ID Code:
20808
Deposited By:
Deposited On:
03 Dec 2008 09:45
Refereed?:
Yes
Published?:
Published
Last Modified:
13 Nov 2024 01:04