[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j180374

FINITE p-GROUPS ALL OF WHOSE SUBGROUPS OF CLASS 2 ARE GENERATED BY TWO ELEMENTS

Li, Pujin (Department of Mathematics Shanxi Normal University)
Zhang, Qinhai (Department of Mathematics Shanxi Normal University)

Publication Information

Journal of the Korean Mathematical Society / v.56, no.3, 2019 , pp. 739-750 More about this Journal

Abstract

We proved that finite p-groups in the title coincide with finite p-groups all of whose non-abelian subgroups are generated by two elements. Based on the result, finite p-groups all of whose subgroups of class 2 are minimal non-abelian (of the same order) are classified, respectively. Thus two questions posed by Berkovich are solved.

Keywords

finite p-groups; minimal non-abelian p-groups; subgroups of class 2;

Citations & Related Records

Reference

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