ON F-z-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups.

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Bibliographic Details
Published inActa mathematica scientia Vol. 31; no. 1; pp. 22 - 28
Main Author 郭文彬 唐娜 李保军
Format Journal Article
LanguageEnglish
Published 2011
Subjects
有限群
群体结构
补子群
超中心
Online AccessGet full text
ISSN0252-9602
1572-9087

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Summary:A subgroup H of a group G is called F-z-supplemented in G if there exists a subgroup K of G, such that G = HK and H∩K≤ Z∞F（G）, where Z∞F（G） is the F-hypercenter of G. We obtain some results about the F-z-supplemented subgroups and use them to determine the structure of some groups.
Bibliography:local formations
supersoluble groups
Finite groups
O152.1
42-1227/O
F-z-supplemented subgroups
U674.192
Finite groups; local formations; F-z-supplemented subgroups; supersoluble groups; p-nilpotent groups
p-nilpotent groups
ISSN:0252-9602
1572-9087