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Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups

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Ukrainian Mathematical Journal Aims and scope

A subgroup H of a group G is said to be weakly s-semipermutable in G if G has a subnormal subgroup T such that HT = G and HT ≤ \( {H}_{\overline{s}G} \), where \( {H}_{\overline{s}G} \) is the subgroup of H generated by all subgroups of H that are s-semipermutable in G. The main aim of the paper is to study the p-nilpotency of a group for which every second maximal subgroup of its Sylow p-subgroups is weakly s-semipermutable. Some new results are obtained.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 5, pp. 694–698, May, 2014.

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Xu, Y., Li, X.H. Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups. Ukr Math J 66, 775–780 (2014). https://doi.org/10.1007/s11253-014-0971-2

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  • DOI: https://doi.org/10.1007/s11253-014-0971-2

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