Bulletin of the Korean Mathematical Society (대한수학회보)

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A GENERALIZATION OF 𝓐2-GROUPS

  • Received : 2021.07.31
  • Accepted : 2021.11.08
  • Published : 2022.07.31
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Abstract

In this paper, we determine the finite p-group such that the intersection of its any two distinct minimal nonabelian subgroups is a maximal subgroup of the two minimal nonabelian subgroups, and the finite p-group in which any two distinct 𝓐1-subgroups generate an 𝓐2-subgroup. As a byproduct, we answer a problem proposed by Berkovich and Janko.

Keywords

Acknowledgement

We owe our sincere gratitude to the referee. She/He read our paper very carefully and put forward a lot of suggestions. The author also thanks Professor Qinhai Zhang for his value suggestions. Their suggestions are quite valuable and helpful for improving our paper.

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