Automorphisms of groups

被引：14

作者：

Jin, Ping ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2007年 / 312卷 / 02期

关键词：

automorphism; group extension; cohomology group; Wells map;

D O I：

10.1016/j.jalgebra.2007.03.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of the present paper is to give an explicit description of the Wells map of a given group extension to the case of automorphisms acting trivially on the quotient group. From this we obtain some of new necessary and sufficient conditions for an automorphism of a normal subgroup of a group to extend to the group itself, with trivial action on the quotient group. (c) 2007 Published by Elsevier Inc.

引用

页码：562 / 569

页数：8

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