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arXiv · 0909.0830

The vertices and sources of the natural simple module for the alternating group in even characteristic

Susanne Danz·Jürgen Müller
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Abstract

For $n\geq 5$ the natural permutation module for the alternating group $\mathfrak{A}_n$ has a unique non-trivial composition factor, being called its natural simple module. We determine the vertices and sources of the natural simple $\mathfrak{A}_n$-module over fields of characteristic 2.

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Susanne Danz, Jürgen Müller. 2009-09-04. The vertices and sources of the natural simple module for the alternating group in even characteristic. https://arxiv.org/abs/0909.0830

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