Jürgen Müller

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

    Authors: Susanne Danz, Jürgen Müller
    Subjects: Representation Theory
    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.

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

    Authors: Susanne Danz, Jürgen Müller
    Subjects: Representation Theory
    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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