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arxiv: 0909.0830 · v1 · submitted 2009-09-04 · 🧮 math.RT

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

classification 🧮 math.RT
keywords modulenaturalsimplealternatingcharacteristicgroupmathfraksources
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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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