On the deskins completions, theta completions and theta pairs for maximal subgroups II*
作者:
Zhao Yaoqing,
期刊:
Communications in Algebra
(Taylor Available online 1998)
卷期:
Volume 26,
issue 10
页码: 3155-3164
ISSN:0092-7872
年代: 1998
DOI:10.1080/00927879808826334
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
This paper is a continuation of the paper “On the Deskins completions, theta completions and theta pairs for maximal subgroups ”.In the former paper, Zhao Yaoqing introduced the concept of θ-completions associated to a maximal subgroup of a finite group. The concept offers a convenience for us to study the completions introduced by Deskins and gives us a way to reveal the relationship between the concepts of completions and θ-pairs, the latter concept is introduced by Mukherjee and Bhattacharya. The present paper is devoted to discussing the π-solvability, π-supersolvability and π-nilpotency of a finite group by using the θ-completions. Moreover, a new proof on the Deskins conjecture concerning the supersolvability is included.
点击下载:
PDF (402KB)
返 回