Local control in fusion systems of p-blocks of finite groups

Radha Kessar, Markus Linckelmann, Geoffrey Raymond Robinson

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21 Citations (Scopus)

Abstract

If p is an odd prime, b a p-block of a finite group G such that SL(2, p) is not involved in N-G (Q, e)/C-G (Q) for any b-subpair (Q, e), then NG (Z(J(P))) controls b-fusion, where P is a defect group of b. This is a block theoretic analogue of Glauberman's ZJ-Theorem. Several results of general interest about fusion and blocks are also proved. (C) 2002 Elsevier Science (USA). All rights reserved.

Original languageEnglish
Pages (from-to)393-413
Number of pages20
JournalJournal of Algebra
Volume257
Issue number2
DOIs
Publication statusPublished - Nov 2002

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