On the Modular Version of the Gluck-Wolf Theorem |
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Authors: | Zu Yun Lu |
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Institution: | (1) School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China E-mail: zqlu@math.pku.edu.cn, CN |
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Abstract: | Let N be a normal subgroup of a finite group G. Let ϕ be an irreducible Brauer character of N. Assume π is a set of primes and χ(1)/ϕ(1) is a π′-number of any χ∈IBr
p
(G/ϕ). If p∤|G:N|, and N is p-solvable, then G/N has an abelian-by-metabelian Hall-π subgroup; If p∉π then G/N has a metabelian Hall-π subgroup.
Received February 22, 2000, Accepted May 9, 2001 |
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Keywords: | p-Brauer character Lifting Brauer character p-length |
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