A block theoretic analogue of a theorem of Glauberman and Thompson

R. Kessar; M. Linckelmann

doi:10.1090/S0002-9939-02-06506-1

A block theoretic analogue of a theorem of Glauberman and Thompson

R. Kessar, M. Linckelmann

Pure Mathematics

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Abstract

If p is an odd prime, G a nite group and P a Sylow-p-subgroup of G, a theorem of Glauberman and Thompson states that G is p-nilpotent if and only if N_G(Z(J(P))) is p-nilpotent, where J(P) is the Thompson subgroup of P generated by all abelian subgroups of P of maximal order. Following a
suggestion of G. R. Robinson, we prove a block-theoretic analogue of this theorem.

Original language	English
Pages (from-to)	35-40
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-02-06506-1
Publication status	Published - 13 May 2003

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A block theoretic analogue of a theorem of Glauberman and Thompson

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