On 10-Centralizer Groups of Odd Order-Reference-Cited by-同舟云学术

On 10-Centralizer Groups of Odd Order

Published:2014-04-01 Issue: Volume:2014 Page:1-4
ISSN:2090-6293
Container-title:ISRN Algebra
language:en
Short-container-title:ISRN Algebra

Author:

Foruzanfar Z.¹,Mostaghim Z.¹

Affiliation:

1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

Abstract

Let G be a group, and let Cent(G) denote the number of distinct centralizers of its elements. A group G is called n-centralizer if Cent(G)=n. In this paper, we investigate the structure of finite groups of odd order with Cent(G)=10 and prove that there is no finite nonabelian group of odd order with Cent(G)=10.

Publisher

Hindawi Limited

Subject

Industrial and Manufacturing Engineering,Polymers and Plastics,History,Business and International Management

Link

http://downloads.hindawi.com/archive/2014/607984.pdf

Reference19 articles.

1. Counting the centralizers of some finite groups

2. On finite groups with a certain number of centralizers

3. On finite groups with exactly seven element centralizers

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1. On the structure of finite groups associated to regular non-centralizer graphs;AIMS Mathematics;2023

2. On solubility of groups with finitely many centralizers;International Electronic Journal of Algebra;2022-07-15

3. Counting the number of centralizers of 2-element subsets in a finite group;Communications in Algebra;2020-06-07

4. Groups with Exactly Ten Centralizers;Bulletin of the Iranian Mathematical Society;2018-06-29