TY - JOUR
T1 - Local control in fusion systems of p-blocks of finite groups
AU - Kessar, R.
AU - Linckelmann, M.
AU - Robinson, G.R.
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 NG(Q,e)/CG(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.
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 NG(Q,e)/CG(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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-0037113749&partnerID=MN8TOARS
UR - https://www.scopus.com/pages/publications/0037113749
U2 - 10.1016/S0021-8693(02)00517-3
DO - 10.1016/S0021-8693(02)00517-3
M3 - Article
SN - 0021-8693
VL - 257
SP - 393
EP - 413
JO - Journal of Algebra
JF - Journal of Algebra
IS - 2
ER -