Weakly c-permutable subgroups of finite groups

JOURNAL OF ALGEBRA

卷:324

Article

Guo, Wenbin^1,2  Chen, Sheng² 

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

关键词: Weakly c-permutable subgroups;    Completely c-permutable subgroups;    Formations;    p-Nilpotent groups;    Supersoluble groups;   

DOI  :  10.1016/j.jalgebra.2010.07.018

来源: Elsevier

【 摘 要 】

A subgroup H of a group G is called weakly c-permutable in G if there exists a subgroup T of G such that G = HT and H boolean AND T is completely c-permutable in G. In this paper, we obtain some results about the weakly c-permutable subgroups and use them to determine the structures of some groups. In particular, we give some new characterizations of supersolvability and p-nilpotency of a group (and, more general, a group belonging to a given formation of finite groups) by using the weakly c-permutability of some primary subgroups. As application, we generalize a series of known results. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free