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On F h -supplemented subgroups of finite groups

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Abstract

Suppose that F is a formation of finite groups. We introduce the concept of F h -supplemented subgroups and investigate the structure of finite groups on assuming that some maximal subgroups of Sylow subgroups, maximal subgroups, minimal subgroups, and 2-maximal subgroup are F h -supplemented, respectively. Some available results are generalized.

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Authors and Affiliations

  1. School of Mathematical Sciences Huaiyin Normal University Huaian, Jiangsu, P. R. China

    T. Na

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  1. T. Na
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Correspondence to T. Na.

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Huaian. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 4, pp. 925–936, July–August, 2017

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Na, T. On F h -supplemented subgroups of finite groups. Sib Math J 58, 718–726 (2017). https://doi.org/10.1134/S0037446617040188

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  • DOI: https://doi.org/10.1134/S0037446617040188

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