具有某些有界编码的有限群

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-05-09 DOI:10.1007/s10114-024-1236-0

Dong Fang Yang, Yu Zeng, Heng Lv

引用次数: 0

摘要

对于有限群 G 的一个特征 χ，cod(χ)≔ ∣G: ker(χ)∣/χ(1) 的数称为 χ 的可解度。本文给出了有限群 G 的可解性判据，当 χ 在 G 的不可还原字符中变化时，该判据取决于比值 χ(1)2/cod(χ) 的最小值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite Groups with Some Bounded Codegrees

For a character χ of a finite group G, the number cod(χ)≔ ∣G: ker(χ)∣/χ(1) is called the codegree of χ. In this paper, we give a solvability criterion for a finite group G depending on the minimum of the ratio χ(1)²/cod(χ), when χ varies among the irreducible characters of G.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.