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On a subgroup introduced by J.Grodal

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LMS Groups and their applications triangle meeting

(Report on ongoing joint work with J. Grodal.) We will discuss the structure of the (normal) subgroup of a finite group G generated by the elements whose centraliser has order divisible by the prime p. This leads quickly to a study of an interesting generalization of Frobenius complements.

The abelianization of the associated quotient group plays a role in J. Grodal’s work on endotrivial modules.

This talk is part of the Algebra seminar series.

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