摘要
Let N be a normal subgroup of a finite group G.Let be an irreducible Brauer character of N.Assume π is a set of primes and (1)/(1)is a π'-number for any. X ∈IBr_p(G|).If p|G:N|, and N is p-solvable,then G/N has an abelian-by-metabelian Hall-π subgroup:If pπ,then G/N has a metabelian Hall-π subgroup.
Let N be a normal subgroup of a finite group G.Let be an irreducible Brauer character of N.Assume π is a set of primes and (1)/(1)is a π'-number for any. X ∈IBr_p(G|).If p|G:N|, and N is p-solvable,then G/N has an abelian-by-metabelian Hall-π subgroup:If pπ,then G/N has a metabelian Hall-π subgroup.
基金
Supported by Beijing Natural Science Foundation[19920003]
