Local control in fusion systems of p-blocks of finite groups
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Colleges, School and Institutes
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.
|Number of pages||21|
|Journal||Journal of Algebra|
|Publication status||Published - 15 Nov 2002|