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Some Notes on the Second Maximal Subgroups of Finite Groups

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Abstract

Under study are the arithmetic properties of second maximal subgroups of finite groups. Generally speaking, we investigated the problem by Monakhov [1, Problem 19.54] and developed the research of Meng and Guo [2, Theorem B] by weakening the condition of solvability.

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Funding

This research is supported by the NSFC (Grants # 11871062 and 12001436), the NSFC–RFBR (Grant # 12011530061), the Chunhui Plan Cooperative Scientific Research Project of the Ministry of Education of the People’s Republic of China and the Natural Science Foundation of Jiangsu Province (Grant # BK20181451), and the Fundamental Research Funds of China West Normal University (Grants # 17E091 and 18B032).

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Authors and Affiliations

  1. School of Mathematics and Information, China West Normal University, Nanchong, China

    J. Zhang

  2. School of Mathematical Sciences, Yangzhou University, Yangzhou, China

    Zh. Gao & L. Miao

  3. Basic Course Department, Jiangsu Vocational College of Information Technology, Wuxi, China

    L. Miao

Authors
  1. J. Zhang
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  2. Zh. Gao
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  3. L. Miao
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Corresponding author

Correspondence to L. Miao.

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Zhang, J., Gao, Z. & Miao, L. Some Notes on the Second Maximal Subgroups of Finite Groups. Sib Math J 62, 178–181 (2021). https://doi.org/10.1134/S0037446621010195

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  • DOI: https://doi.org/10.1134/S0037446621010195

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