Classification of finite groups according to their conjugacy class lengths-Reference-Cited by-同舟云学术

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Classification of finite groups according to their conjugacy class lengths

Published:2019-01-01 Issue:1 Volume:22 Page:137-156
ISSN:1433-5883
Container-title:Journal of Group Theory
language:
Short-container-title:

Author:

Foruzanfar Zeinab,Güloğlu İsmai̇l Ş.,Rezaei Mehdi

Abstract

Abstract In this paper, we classify all finite groups satisfying the following property: their conjugacy class lengths are set-wise relatively prime for any six distinct classes.

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

http://www.degruyter.com/view/j/jgth.2019.22.issue-1/jgth-2018-0025/jgth-2018-0025.pdf

Reference18 articles.

1. On Burnside’s pαp^{\alpha}-lemma;Mat. Zametki,1990

2. On a graph related to conjugacy classes of groups;Bull. Lond. Math. Soc.,1990

3. Finite groups with graphs containing no triangles;J. Algebra,2003

4. The finite groups with thirteen and fourteen conjugacy classes;Math. Nachr.,2007

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The commuting conjugacy class graphs of finite groups with a given property;Georgian Mathematical Journal;2023-10-04

2. On classification of certain class of CP-groups;Indian Journal of Pure and Applied Mathematics;2023-01-09

3. On EPO-groups with a given property on their conjugacy classes;Communications in Algebra;2021-10-02

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