대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제59권4호
  • /
  • Pages.951-960
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  • 2022
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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A GENERALIZATION OF 𝓐2-GROUPS

  • 투고 : 2021.07.31
  • 심사 : 2021.11.08
  • 발행 : 2022.07.31
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⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

과제정보

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.

참고문헌

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