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s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups

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Ukrainian Mathematical Journal Aims and scope

We study the p-nilpotency of a group such that every maximal subgroup of its Sylow p-subgroups is s-conditionally permutable for some prime p. By using the classification of finite simple groups, we get interesting new results and generalize some earlier results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University of Sciences and Technologies, Luoyang, China

    Y. Xu

  2. School of Mathematical Sciences, Soochow University, Suzhou, China

    X. H. Li

Authors
  1. Y. Xu
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  2. X. H. Li
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 6, pp. 858–864, June, 2014.

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Xu, Y., Li, X.H. s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups. Ukr Math J 66, 961–967 (2014). https://doi.org/10.1007/s11253-014-0986-8

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  • DOI: https://doi.org/10.1007/s11253-014-0986-8

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