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Finite Groups with Some \( S \)-Permutably Embedded Subgroups

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Abstract

A subgroup \( H \) of a finite group \( G \) is \( S \)-permutably embedded in \( G \) if each Sylow subgroup of \( H \) is a Sylow subgroup of some \( S \)-permutable subgroup of \( G \). In this paper, we study the structure of the finite groups some of whose subgroups are \( S \)-permutably embedded. Our results improve and generalize many available results.

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Acknowledgments

The authors thank the referee for the valuable suggestions and useful comments that contributed to the preparation of the final version of the paper.

Funding

This work was supported by the National Natural Science Foundation of China (Grants nos. 12071376 and 11971391), the Fundamental Research Funds for the Central Universities (Grant no. XDJK2020B052), and the Natural Science Foundation Project of CQ (no. cstc2021jcyj-msxmX0426).

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Authors and Affiliations

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

    Z. Qiu, G. Chen & J. Liu

Authors
  1. Z. Qiu
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  2. G. Chen
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  3. J. Liu
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Corresponding author

Correspondence to J. Liu.

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The article was submitted by the authors in English.

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Qiu, Z., Chen, G. & Liu, J. Finite Groups with Some \( S \)-Permutably Embedded Subgroups. Sib Math J 64, 1043–1050 (2023). https://doi.org/10.1134/S0037446623040249

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  • DOI: https://doi.org/10.1134/S0037446623040249

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