Acta Scientiarum Naturalium Universitatis Pekinensis

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Character Degrees of Finite Solvable Groups and Nilpotent Length

LU Ziqun   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:1997-10-27 Online:1999-01-20 Published:1999-01-20



  1. 北京大学数学科学学院数学系,北京,100871

Abstract: In this paper, we use n1(G)=| {χ|χ∈Irr(G), χ(1) is a composite number}| and n2(G)=|{χ(1)|χ∈Irr(G), χ(1) is a composite number}| to evaluate the nilpotent length of G, respectively.

Key words: nilpotent length, irreducible character, Frobenius group

摘要: n1(G)=|{χ|χ∈Irr(G),χ(1)为合数}|和n2(G)=|{χ(1)|χ∈Irr(G),χ(1)为合数}|分别对G的幂零长进行了估计。

关键词: 幂零长, 特征标, 弗罗宾纽斯群

CLC Number: