G is p-solvable if G satisies one of the following conditions: (1) there exists a normal subgroup N of G such that p |(|G / N|,|N|): (2) for every irreducible complex character x with p |x(1) or x(1) is a power of a fixed prime q.

 
  • 如果G满足下述条件之一;那么G是P~-可解的:(1)存在正规子群N使p|(|G/N|;|N|); (2)对G的每个不可约复特征标x;或者P|x(1);或者x(1)是一固定素数q的方幂.
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