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Matematicheskie Zametki, 2023, Volume 113, Issue 1, paper published in the English version journal
(Mi mzm13863)
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This article is cited in 1 scientific paper (total in 1 paper)
Papers published in the English version of the journal
The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup
Yuyun Wanga, Wei Liua, Long Miaoab, Jinxing Zhaoc, Xindan Chena a School of Mathematical Sciences, Yangzhou
University, Yangzhou, 225002 China
b College of Science, Hohai University, Nanjing, 210098 China
c School of Mathematical Sciences, Inner Mongolia
University, Inner Mongolia, 010021 China
Abstract:
In this paper, we study the structure of finite groups in which some Sylow subgroup is
$\mathcal M$-permutable.
In particular, we mainly reveal the structure of its formation
and the properties of
$p$-modular subgroups of some quotient groups.
Keywords:
Sylow subgroup,
$\mathcal M$-permutable subgroup,
$p$-modular subgroup,
$p$-supersolvable.
Received: 16.04.2022 Revised: 30.08.2022
Citation:
Yuyun Wang, Wei Liu, Long Miao, Jinxing Zhao, Xindan Chen, “The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup”, Math. Notes, 113:1 (2023), 129–137
Linking options:
https://www.mathnet.ru/eng/mzm13863
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Abstract page: | 90 | References: | 4 |
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