Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2018.06.01
  • Accepted : 2018.09.21
  • Published : 2019.05.01
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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

Acknowledgement

Supported by : NSFC

References

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