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)
• Published : 2015.03.31

Abstract

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

Acknowledgement

Supported by : NSFC

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