• Title, Summary, Keyword: minimal non-abelian groups

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

  • Li, Pujin;Zhang, Qinhai
    • Journal of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.739-750
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    • 2019
  • 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.