TY - JOUR
T1 - Local control in fusion systems of p-blocks of finite groups
AU - Robinson, Geoffrey
AU - Kessar, R
AU - Linckelmann, M
PY - 2002/11/15
Y1 - 2002/11/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0037113749&partnerID=8YFLogxK
U2 - 10.1016/S0021-8693(02)00517-3
DO - 10.1016/S0021-8693(02)00517-3
M3 - Article
VL - 257
SP - 393
EP - 413
JO - Journal of Algebra
JF - Journal of Algebra
IS - 2
ER -