On 10-Centralizer Groups of Odd Order. (1st April 2014)

• Record Type: Journal Article
• Authors: Foruzanfar, Z.; Mostaghim, Z.
• Other Names: Rada J. Academic Editor.; Yang S. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2014(2014)
• Publication Date: 2014-04-01
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.1155/2014/607984
• Languages: English
• ISSNs: 2090-6285

Abstract

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 C e n t ( G ) = n . In this paper, we investigate the structure of finite groups of odd order with C e n t ( G ) = 10 and prove that there is no finite nonabelian group of odd order with C e n t ( G ) = 10 .