Title: Some new characterizations of PST-groups
Authors: Yi, Xiaolan
Skiba, A.N.
Скиба, А.Н.
Issue Date: 2014
Citation: Yi, X. Some new characterizations of PST-groups / X. Yi, A. N. Skiba // Journal of Algebra. – 2014. – Vol. 399. – P. 39-54. – DOI 10.1016/j.jalgebra.2013.10.001.
Abstract: Let H and B be subgroups of a finite group G such that G = NG(H)B. Then we say that H is quasipermutable (respectively S-quasipermutable) in G provided H permutes with B and with every subgroup (respectively with every Sylow subgroup) A of B such that (|H|, |A|) = 1. In this paper we analyze the influence of S-quasipermutable and quasipermutable subgroups on the structure of G. As an application, we give new characterizations of soluble P ST-groups.
URI: https://elib.gsu.by/handle123456789/77558
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