Endotrivial modules for the symmetric and alternating groups

Jon F. Carlson, Nadia Mazza, Daniel K. Nakano

doi:10.1017/s0013091506001179

Endotrivial modules for the symmetric and alternating groups

DOI Web Site 被引用文献2件

説明

<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>

収録刊行物

Proceedings of the Edinburgh Mathematical Society

Proceedings of the Edinburgh Mathematical Society 52 (1), 45-66, 2009-02

Cambridge University Press (CUP)