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Finite groups with some SS-supplemented subgroups

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Abstract

A subgroup H of a finite group G is said to be SS-supplemented in G if there exists a subgroup K of G such that G = HK and H ∩ K is S-quasinormal in K. We analyze how certain properties of SS-supplemented subgroups influence the structure of finite groups. Our results improve and generalize several recent results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Beibei, Chongqing, 400715, China

    Mengling Jiang & Jianjun Liu

Authors
  1. Mengling Jiang
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  2. Jianjun Liu
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Corresponding author

Correspondence to Jianjun Liu.

Additional information

This research was partially supported by the National Natural Science Foundation of China (No. 11971391), Chongqing Research Program of Basic Research and Frontier Technology (No. cstc2018jcyjAX0147), Fundamental Research Funds for the Central Universities (No. XDJK2020B052) and NSFC (No. 12071376).

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Jiang, M., Liu, J. Finite groups with some SS-supplemented subgroups. Czech Math J 71, 837–846 (2021). https://doi.org/10.21136/CMJ.2021.0110-20

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  • DOI: https://doi.org/10.21136/CMJ.2021.0110-20

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