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Recognising abelian Sylow subgroups in finite groups

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If you have a question about this talk, please contact David Stewart.

Given a finite group G, Brauer asked if it was possible to determine from the character table of the group whether or not G has an abelian Sylow p-subgroup for some prime p. In this talk we shall present a theorem which gives a positive answer when p is not 3 or 5. In addition we shall discuss the case for p = 3 and 5.

This talk is part of the Algebra and Representation Theory Seminar series.

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