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arXiv · 1802.07813

An upper bound for the representation dimension of group algebras with an elementary abelian Sylow $p$-subgroup

Simon F. Peacock
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Abstract

Linckelmann showed in 2011 that a group algebra is separably equivalent to the group algebra of its Sylow p-subgroups. In this article we use this relationship, together with Mackey decomposition, to demonstrate that a group algebra of a group with an elementary abelian Sylow $p$-subgroup $P$, has representation dimension at most $|P|$.

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BibTeXRIS

Simon F. Peacock. 2018-02-21. An upper bound for the representation dimension of group algebras with an elementary abelian Sylow $p$-subgroup. https://arxiv.org/abs/1802.07813

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