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On Shemetkov’s Theorem About The Complementedness of the Residual

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Abstract

A formation F of finite groups is called a GWP-formation if the F-residual of the group generated by two F-subnormal subgroups is the subgroup generated by their F-residuals. The main aim of the article is to find some sufficient conditions for a finite group to split over its F-residual.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Sci-Tech University Hangzhou, Hangzhou, P. R. China

    X. Yi

  2. F. Skorina Gomel State University, Gomel, Belarus

    S. F. Kamornikov

Authors
  1. X. Yi
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  2. S. F. Kamornikov
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Correspondence to X. Yi.

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Original Russian Text Copyright © 2018 Yi X. and Kamornikov S.F.

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Yi, X., Kamornikov, S.F. On Shemetkov’s Theorem About The Complementedness of the Residual. Sib Math J 59, 276–282 (2018). https://doi.org/10.1134/S0037446618020106

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  • DOI: https://doi.org/10.1134/S0037446618020106

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