The Wells exact sequence for the automorphism group of a group extension

被引：22

作者：

Jin, Ping ^{[1
,2
]}

Liu, Heguo ^{[3
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

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

[3] Hubei Univ, Dept Math, Wuhan 430062, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2010年 / 324卷 / 06期

关键词：

Automorphism; Group extension; Cohomology group; The Wells map;

D O I：

10.1016/j.jalgebra.2010.04.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an explicit description of the Wells map for the automorphism group of a group extension in the full generality and investigate the dependency of this map on group extensions. Some applications are given. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.

引用

页码：1219 / 1228

页数：10

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