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
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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