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

Radha Kessar, Markus Linckelmann, Geoffrey Raymond Robinson

Research output: Contribution to journalArticle

19 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

Cite this

Local control in fusion systems of p-blocks of finite groups. / Kessar, Radha; Linckelmann, Markus; Robinson, Geoffrey Raymond.

In: Journal of Algebra, Vol. 257, No. 2, 11.2002, p. 393-413.

Research output: Contribution to journalArticle

Kessar, Radha ; Linckelmann, Markus ; Robinson, Geoffrey Raymond. / Local control in fusion systems of p-blocks of finite groups. In: Journal of Algebra. 2002 ; Vol. 257, No. 2. pp. 393-413.
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