Finite groups all of whose proper centralizers are cyclic

Authors

  • H. Rostami Department of Mathematics‎, ‎Faculty of Sciences‎, ‎University of Zanjan‎, ‎P.O‎. ‎Box 45371-38791‎, ‎Zanjan‎, ‎Iran.
  • S.M. Jafarian Amiri 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 ($Gin CC$) if the centralizer of each noncentral element of $G$ is cyclic‎. ‎In this article we determine all finite $CC$-groups.

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Journal title

volume 43  issue 3

pages  755- 762

publication date 2017-06-01

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