SΦ-supplemented subgroups of finite groups

We call H an SΦ-supplemented subgroup of a finite group G if there exists a subnormal subgroup T of G such that G = HT and H ∩ T ≤ Φ(H), where Φ(H) is the Frattini subgroup of H. In this paper, we characterize the p-nilpotency and supersolubility of a finite group G under the assumption that every s...

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Bibliographic Details
Date:2012
Main Authors: Xianhua Li, Tao Zhao
Format: Article
Language:English
Published: Український математичний журнал 2012
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:SΦ-supplemented subgroups of finite groups / Xianhua Li, Tao Zhao // Український математичний журнал. — 2012. — Т. 64, № 1. — С. 92-99. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine