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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Official URL: http://dx.doi.org/10.1017/S0013091506001179
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: | 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: | endotrivial modules ; Young modules ; symmetric groups ; alternating groups |
| Subjects: | Q Science > QA Mathematics |
| 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: | 26 Jul 2012 15:40 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/20808 |
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