Susanne Danz, Jürgen Müller
Published 2009-09-04Version 1
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.
Sylow subgroups of symmetric and alternating groups and the vertex of $S^{(kp-p,1^p)}$ in characteristic $p$
The irreducible representations of the alternating group which remain irreducible in characteristic p
Irreducible projective representations of the alternating group which remain irreducible in characteristic 2
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