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.
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).
