Homology and cohomology groups of the group homomorphism

被引：0

作者：

Katamadze R.D. ^{[1
]}

机构：

[1] Batumi State University, Batumi

来源：

Journal of Mathematical Sciences | 2008年 / 152卷 / 3期

关键词：

Exact Sequence; Chain Complex; Cohomology Group; Homology Group; Group Homomorphism;

D O I：

10.1007/s10958-008-9071-x

中图分类号：

学科分类号：

摘要：

As is known, the homology and cohomology Massa-Takasu groups for pairs of groups (G, H) are defined by the embedding f: H → G, H < G [2]. In our case, these definitions are extended to an arbitrary group homomorphism φ: Π → G. In particular, we define homology and cohomology groups of the nth order for the homomorphism φ, and if Π = H, we obtain the known theory [2]. © 2008 Springer Science+Business Media, Inc.

引用

页码：323 / 329

页数：6