On the complexities of some simple modules of symmetric groups
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Let p be a prime. In this paper, we compute the complexities of some simple modules of symmetric groups labelled by two-part partitions. Most of the simple modules considered here are contained in p-blocks with non-abelian defect groups.
KeywordsComplexity Generic Jordan type Symmetric group Simple modules of symmetric groups
Mathematics Subject Classification20C30
The author thanks his supervisor Dr. Kay Jin Lim for providing some suggestions to improve the paper. He also gratefully thanks an anonymous referee for his or her meaningful and helpful comments on an earlier version of the paper.
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