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On the complexities of some simple modules of symmetric groups

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arxiv 1810.01144 v1 pith:NGL5LDKG submitted 2018-10-02 math.RT

classification math.RT
keywords groupsmodulessimplecomplexitiessomesymmetricblockscompute
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abstract

Let $p$ be a prime. In this paper, we compute complexities of some simple modules of symmetric groups labelled by two-part partitions. Most of the simple modules considered here are contained in the $p$-blocks with non-abelian defect groups.

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