Large character heights,Qd(p), and the Ordinary Weight Conjecture
نویسندگان
چکیده
On the other hand, for control of fusion and other locally controlled phenomona, Alperin-Goldschmidt subpairs play a crucial role. We take this opportunity to remind the reader that when B is a p-block, an Alperin-Goldschmidt B-subpair (U, bU ) is a B-subpair such that bU has defect group Z(U) and Op(NG(U, bU )/UCG(U)) = 1. When B is the principal p-block, the AlperinGoldschmidt B-subpairs may be identified with their p-subgroup components, and those contained in a fixed Sylow p-subgroup form a conjugation family.
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