Mathematics – Representation Theory
Scientific paper
2009-09-04
Mathematics
Representation Theory
23 pages
Scientific paper
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.
Danz Susanne
Möller Jürgen
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