关于有限内幂零群和Frobenius群的Coleman自同构  

On Coleman automorphisms of finite inner nilpotent groups and Frobenius groups

作　　者：赵文英 海进科 ZHAO Wen-ying HAI Jin-ke(College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China)

机构地区：[1]青岛大学数学与统计学院,山东青岛266071

出　　处：《山东大学学报（理学版）》2017年第10期4-6,11,共4页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(ZR2016AM21)

摘　　要：设G是有限群N通过有限群H的半直积。证明了某些条件下G的每个Coleman自同构均为内自同构。Let G be a semidirect product of a finite group N by a finite group H. It is shown that under some conditions every Coleman automorphism of G is an inner automorphism.

关 键 词：内幂零群 FROBENIUS群 Coleman自同构 正规化子问题 

分 类 号：O152.6[理学—数学]