Jürgen Müller

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

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math.RT2009★ 2 cited

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

Susanne Danz, Jürgen Müller

For $n \geq 5$ the natural permutation module for the alternating group $A_{n}$ has a unique non-trivial composition factor, being called its natural simple module. We dete…

math.RT2009

Broué's abelian defect group conjecture holds for the Harada-Norton sporadic simple group $H N$

Shigeo Koshitani, Jürgen Müller

In representation theory of finite groups, there is a well-known and important conjecture due to M. Broué. He conjectures that, for any prime $p$ , if a $p$ -block $A$ of a finite gr…

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

Broué's abelian defect group conjecture holds for the Harada-Norton sporadic simple group HN

Broué's abelian defect group conjecture holds for the Harada-Norton sporadic simple group $H N$