[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.2.367

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.2, 2015 , pp. 367-376 More about this Journal

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.

Keywords

centralizers; non-central elements; normal rank; p-groups of maximal class;

Citations & Related Records

Reference

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