Pronormality and Submaximal X-Subgroups on Finite Groups Dedicated to celebrate the Sixtieth anniversary of USTC  

作　　者：Wenbin Guo Danila O.Revin 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,People’s Republic of China [2]Sobolev Institute of Mathematics SB RAS,Novosibirsk,Russia [3]Novosibirsk State University,Novosibirsk,Russia 630090

出　　处：《Communications in Mathematics and Statistics》2018年第3期289-317,共29页数学与统计通讯（英文）

基　　金：supported by a NNSF Grant of China(Grant#11771409);Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences;by SB RAS Fundamental Research Program I.1.1(project#0314-2016-0001).

摘　　要：According to Hall,a subgroup H of a group G is said to be pronormal if H and H^(g) are conjugate in<H,H^(g)>for every g∈G.In this survey,we discuss the role of pronormality for some subgroups of finite groups:Hall subgroups,subgroups of odd index,submaximal X-subgroup,etc.

关 键 词：Pronormal subgroup Hallπ-subgroup Submaximal X-subgroup Subgroup of odd index 

分 类 号：O15[理学—数学]