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

作　　者：Jinke Hai Yixin Zhu 

机构地区：[1]College of Mathematics and Statistics, Qingdao University Qingdao, Shandong 266071, China [2]School of Mathematical Science, Capital Normal University Beijing 100048, China

出　　处：《Algebra Colloquium》2018年第2期181-188,共8页代数集刊（英文版）

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.让 G 是由一个有限的组的一个有限 quasinilpotent 组的延期。在一些条件下面， G 的每科尔曼自守是内部自守，这被显示出。对如此的自守的兴趣为不可分的组戒指从 normalizer 问题的学习产生了。我们的定理概括一些著名结果。

关 键 词：semidirect product Coleman automorphisms normalizer property 

分 类 号：TS7[轻工技术与工程—制浆造纸工程] O174.2[理学—数学]