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

link: http://arxiv.org/abs/0909.0830
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.