On Coleman Automorphisms of Extensions of Finite Quasinilpotent Groups by Some Groups

作     者：Jinke Hai Yixin Zhu 

作者机构：College of Mathematics and Statistics Qingdao University Qingdao Shandong 266071 China School of Mathematical Science Capital Normal University Beijing 100048 China 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2018年第25卷第2期

页      面：181-188页

核心收录：

学科分类：082903[工学-林产化学加工工程] 07[理学] 08[工学] 0829[工学-林业工程] 070104[理学-应用数学] 082201[工学-制浆造纸工程] 0822[工学-轻工技术与工程] 0701[理学-数学] 

基　　金：Supported by NSF of Shandong Province 

主　　题：semidirect product Coleman automorphisms normalizer property 

摘      要：Let G be an extension of a finite quasinilpotent group by a finite group. It is shown that under some conditions every Coleman automorphism of G is an inner automorphism. The interest in such automorphisms arose from the study of the normalizer problem for integral group rings. Our theorems generalize some well-known results.