# Finite groups all of whose proper centralizers are cyclic

Document Type: Research Paper

Authors

Department of Mathematics‎, ‎Faculty of Sciences‎, ‎University of Zanjan‎, ‎P.O‎. ‎Box 45371-38791‎, ‎Zanjan‎, ‎Iran.

Abstract

‎A finite group $G$ is called a $CC$-group ($G\in CC$) if the centralizer of each noncentral element of $G$ is cyclic‎. ‎In this article we determine all finite $CC$-groups.

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Main Subjects

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### History

• Receive Date: 16 September 2015
• Revise Date: 12 February 2016
• Accept Date: 12 February 2016