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FINITE p-GROUPS WHOSE NON-CENTRAL CYCLIC SUBGROUPS HAVE CYCLIC QUOTIENT GROUPS IN THEIR CENTRALIZERS

  • Zhang, Lihua (Beijing University of Posts and Telecommunications) ;
  • Wang, Jiao (Department of Mathematics Shanxi Normal University) ;
  • Qu, Haipeng (Department of Mathematics Shanxi Normal University)
  • Received : 2013.04.09
  • Published : 2015.03.31

Abstract

In this paper, we classified finite p-groups G such that $$C_G(x)/<x>$$ is cyclic for all non-central elements $x{\in}G$. This solved a problem proposed By Y. Berkovoch.

Acknowledgement

Supported by : NSFC

References

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