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τ-primitive subgroups of finite groups

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Abstract

We study the influence of τ-primitive subgroups on the structure of finite groups. As applications, we give the structure of the finite groups whose every subgroup is an intersection of subgroups of prime power index and the structure of finite groups whose every subnormal subgroup is an intersection of subnormal subgroups of prime power index.

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Article Open access 05 June 2022

Alberto Facchini, Francesco de Giovanni & Marco Trombetti

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Authors and Affiliations

  1. Xuzhou Normal University, Xuzhou, P. R. China

    Nanying Yang & Wenbin Guo

Authors
  1. Nanying Yang
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  2. Wenbin Guo
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Corresponding author

Correspondence to Wenbin Guo.

Additional information

Original Russian Text Copyright © 2009 Yang N. and Guo W.

The authors were supported by the NNSF of China (Grant 10771180) and a grant of the postgraduate innovation fund of the Jiangsu Province of China.

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Xuzhou. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 3, pp. 703–712, May–June, 2009.

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Yang, N., Guo, W. τ-primitive subgroups of finite groups. Sib Math J 50, 560–566 (2009). https://doi.org/10.1007/s11202-009-0062-z

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  • DOI: https://doi.org/10.1007/s11202-009-0062-z

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