论文标题
在一个小组的不变（CO）同源性上
On invariant (co)homology of a group
论文作者
论文摘要
同源性和共同体学有不同的概念，可以针对由组自动形态的另一组作用的小组定义。在本文中，我们解决了在这种情况下出现的三个自然问题。也就是说，这些概念与半领产品的通常（CO）同源性的关系，将第一同源性组作为某种Abelianization的解释以及（不变）组扩展的分类。
There are different notions of homology and cohomology that can be defined for a group with an action of another group by group automorphisms. In this paper we address three natural questions that arise in this context. Namely, the relation of these notions with the usual (co)homology of a semidirect product, the interpretation of the first homology group as some kind of abelianization and the classification of (invariant) group extensions.
