On low-dimensional homology in categories

被引：6
|
作者：
Everaert, Tomas
Gran, Marino
机构：
[1] Vrije Univ Brussel VIB, Fac Wetenschappen, B-1050 Brussels, Belgium
[2] Univ Littoral Cote dOpale, Lab Math Pures & Appliquees, F-62228 Calais, France
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2007年 / 9卷 / 01期
关键词：
homology; category theory; Hopf formula; central series;
D O I：
10.4310/HHA.2007.v9.n1.a12
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classical Stallings-Stammbach five-term exact sequence associated with a short exact sequence of groups is shown to exist in a general categorical context. This makes it possible to establish a new result relating low-dimensional homology and central series, which extends a well known result from the theory of groups.
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页码：275 / 293
页数：19
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