Structure of finite groups with restrictions on the set of conjugacy classes sizes

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-06-20 DOI:10.46298/cm.9722

I. Gorshkov

引用次数: 1

Abstract

Let $N(G)$ be the set of conjugacy classes sizes of $G$. We prove that if $N(G)=\Omega\times \{1,n\}$ for specific set $\Omega$ of integers, then $G\simeq A\times B$ where $N(A)=\Omega$, $N(B)=\{1,n\}$, and $n$ is a power of prime.

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具有共轭类大小集限制的有限群的结构

设$N（G）$是$G$大小的共轭类的集合。我们证明了如果对于整数的特定集合$\Omega$，$N（G）=\Omega\times\｛1，N\｝$，则$G\simeq A\times B$，其中$N（A）=\Omega$、$N（B）=\｛1、N\｝$和$N$是时间的幂。

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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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.