On --permutable subgroups of finite groups
Jinxin Gao
Shanghai University, ChinaXiuyun Guo
Shanghai University, China
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Abstract
A subgroup of a finite group is said to be --permutable in if there is a subgroup of such that and is a nearly -permutable subgroup of . In this article, we analyse the structure of a finite group by using the properties of --permutable subgroups and obtain some new characterizations of finite -nilpotent groups and finite supersolvable groups. Some known results are generalized
Cite this article
Jinxin Gao, Xiuyun Guo, On --permutable subgroups of finite groups. Rend. Sem. Mat. Univ. Padova 139 (2018), pp. 129–142
DOI 10.4171/RSMUP/139-3