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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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