Character Degrees of Finite Solvable Groups and Nilpotent Length

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Character Degrees of Finite Solvable Groups and Nilpotent Length

LU Ziqun

School of Mathematical Sciences, Peking University, Beijing, 100871

Received:1997-10-27 Online:1999-01-20 Published:1999-01-20

有限可解群的特征标次数与幂零长

鲁自群

北京大学数学科学学院数学系，北京，100871

Abstract

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： 用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:

O152

LU Ziqun. Character Degrees of Finite Solvable Groups and Nilpotent Length[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

鲁自群. 有限可解群的特征标次数与幂零长[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y1999/V35/I1/31

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Character Degrees of Finite Solvable Groups and Nilpotent Length

有限可解群的特征标次数与幂零长

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