论文标题
相对延伸和共同体的群体组
Relative extensions and cohomology of profinite groups
论文作者
论文摘要
我们相对于一个子组$ \ fams $的家族的组$ g $的共同体组与Abelian Groups的“相对扩展”的类别的“相对扩展”类别构建了对应关系，Modulo具有一定的等价关系。我们为离散组和涂鸦组对建立了这一对应关系。我们继续讨论了共同体学维度对与免费产品和投射组对的关系对的关系。
We construct a correspondence between the cohomology groups of a group $G$ relative to a family of subgroups $\famS$ and the classes of `relative extensions' of $G$ by abelian groups, modulo a certain equivalence relation. We establish this correspondence for both discrete and profinite group pairs. We go on to discuss the relationships of profinite group pairs of cohomological dimension one with free products and projective group pairs.
