Finite Groups with H-Permutable Subgroups  

作　　者：Wenbin Guo Chenchen Cao Alexander N.Skiba Darya A.Sinitsa 

机构地区：[1]Department of Mathematics,University of Science and'Technology of China,Hefei 230026,People's Republic of China [2]Department of Mathematics,Francisk Skorina Gomel State University,Gomel 246019,Belarus

出　　处：《Communications in Mathematics and Statistics》2017年第1期83-92,共10页数学与统计通讯（英文）

基　　金：a NNSF grant of China(Grant#11371335);Wu Wen-TsunKey Laboratory of Mathematics of Chinese Academy of Sciences.Research of the third author is supported by Chinese Academy of Sciences Visiting Professorship for Senior International Scientists(Grant No.2010T2J12).

摘　　要：Letσ={σi|i∈I}be some partition of the set P of all primes and G afinite group.A set H of subgroups of G is said to be a complete Hallσ-set of G ifevery member≠1 of H is a Hallσi-subgroup of G for some i c l and H containsexactly one Hallσi-subgroup of G for every i such thatσi∩π(G)≠Ø.A subgroupA of G is said to be H-permutable if A permutes with all members of the completeHallσ-set H of G.In this paper,we study the structure of G under the assuming thatsome subgroups of G areσ-permutable.

关 键 词：Finite group Hall subgroup Complete Hallσ-set H-permutablesubgroup PST-group 

分 类 号：O15[理学—数学]