Finite groups whose conjugacy class sizes of primary and biprimary elements are Hall numbers

被引：0

作者：

Shao, Changguo ^{[1
]}

Jiang, Qinhui ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2020年 / 96卷 / 3-4期

关键词：

finite groups; conjugacy class sizes; primary and biprimary elements; Hall numbers; LENGTH;

D O I：

10.5486/PMD.2020.8464

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group, and m be a positive integer. Then m is called a Hall number of G if m is a positive divisor of vertical bar G vertical bar satisfying gcd(vertical bar G vertical bar/m, m) = 1. In this paper, we classify finite groups whose conjugacy class sizes of primary and biprimary elements are Hall numbers.

引用

页码：281 / 289

页数：9

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