ON CLASS-PRESERVING COLEMAN AUTOMORPHISMS OF FINITE SEPARABLE GROUPS

被引：6
|
作者：
Hai, Jinke [1 ]
Li, Zhengxing [1 ]
机构：
[1] Qingdao Univ, Sch Math, Qingdao 266071, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Class-preserving automorphism; Coleman automorphism; the normalizer property; NORMALIZER;
D O I：
10.1142/S0219498813501107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a finite separable group. It is shown that under some conditions class-preserving Coleman automorphisms of 2-power order of G are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings. Our theorems generalize some well-known results.
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页数：8
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