Finite Groups with Certain S-Permutable and GS-Maximal Subgroups  

作　　者：A.M.Elkholy M.H.Abd-Ellatif 

机构地区：[1]Department of Mathematics and Computer Science,Faculty of Science Beni-Suef University,62511 Beni-Suef,Egypt

出　　处：《Algebra Colloquium》2020年第4期661-668,共8页代数集刊（英文版）

摘　　要：Let G be a finite group and H a subgroup of G.We say that H is S-permutable in G if H permutes with every Sylow subgroup of G.A group G is called a generalized smooth group(GS-group)if[G/L]is totally smooth for every subgroup L of G of prime order.In this paper,we investigate the structure of G under the assumption that each subgroup of prime order is S-permutable if the maximal subgroups of G are GS-groups.

关 键 词：smooth groups subgroup lattices S-permutability 

分 类 号：O15[理学—数学]