Endotrivial modules for the symmetric and alternating groups
Description
<jats:title>Abstract</jats:title><jats:p>In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic <jats:italic>p</jats:italic>. If <jats:italic>p</jats:italic> = 2, then the group is generated by the class of Ω<jats:italic><jats:sup>n</jats:sup></jats:italic>(<jats:italic>k</jats:italic>) except in a few low degrees. If <jats:italic>p</jats:italic> > 2, then the group is only determined for degrees less than <jats:italic>p</jats:italic><jats:sup>2</jats:sup>. In these cases we show that there are several Young modules which are endotrivial.</jats:p>
Journal
-
- Proceedings of the Edinburgh Mathematical Society
-
Proceedings of the Edinburgh Mathematical Society 52 (1), 45-66, 2009-02
Cambridge University Press (CUP)
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1360011143879790592
-
- ISSN
- 14643839
- 00130915
-
- Data Source
-
- Crossref