A block theoretic analogue of a theorem of Glauberman and Thompson

Radha Kessar, Markus Linckelmann

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

If p is an odd prime, G a finite 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 languageEnglish
Pages (from-to)35-40
Number of pages5
JournalProceedings of the American Mathematical Society
Volume131
Issue number1
DOIs
Publication statusPublished - 2003

Cite this

A block theoretic analogue of a theorem of Glauberman and Thompson. / Kessar, Radha; Linckelmann, Markus.

In: Proceedings of the American Mathematical Society, Vol. 131, No. 1, 2003, p. 35-40.

Research output: Contribution to journalArticle

Kessar, Radha ; Linckelmann, Markus. / A block theoretic analogue of a theorem of Glauberman and Thompson. In: Proceedings of the American Mathematical Society. 2003 ; Vol. 131, No. 1. pp. 35-40.
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