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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: 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: 09 Oct 2013 12:43
      Identification Number:
      URI: http://eprints.lancs.ac.uk/id/eprint/20808

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