Influence of Certain Permutable Subgroups on Finite Smooth Groups  

作　　者：A. M. ELKHOLY A. A. HELIEL 

机构地区：[1]Department of Mathematics, Beni-Suef University, Faculty of Science 62511, Beni-Suef, Egypt [2]Department of Mathematics, King Abdulaziz University, Faculty of Science 80203, Jeddah 21589, Saudi Arabia

出　　处：《Acta Mathematica Sinica,English Series》2011年第8期1547-1556,共10页数学学报（英文版）

摘　　要：A subgroup H of a finite group G is said to be permutable in G if it permutes with every subgroup of G. In this paper, we determine the finite groups which have a permutable subgroup of prime order and whose maximal subgroups are totally （generalized） smooth groups.A subgroup H of a finite group G is said to be permutable in G if it permutes with every subgroup of G. In this paper, we determine the finite groups which have a permutable subgroup of prime order and whose maximal subgroups are totally （generalized） smooth groups.

关 键 词：Permutable subgroups smooth groups subgroup lattices 

分 类 号：O152.1[理学—数学] O157.5[理学—基础数学]