On Coleman Automorphisms of Finite Nilpotent Groups by Cyclic Groups  

作　　者：Jin Ke HAI Sheng Bo GE 

机构地区：[1]College of Mathematics and Statistics,Qingdao University

出　　处：《Acta Mathematica Sinica,English Series》2016年第12期1459-1464,共6页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11171169)

摘　　要：Let G be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic. It is shown that under some conditions all Coleman automorphisms of G are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.Let G be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic. It is shown that under some conditions all Coleman automorphisms of G are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

关 键 词：Coleman automorphism the normalizer property nilpotent group 

分 类 号：O152.1[理学—数学]