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Results tagged with group-cohomology
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user 31670
In mathematics, group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology. Analogous to group representations, group cohomology looks at the group actions of a group G in an associated G-module M to elucidate the properties of the group.
7
votes
Accepted
Cohomological dimension of knit products
First of all, there are examples for semi-direct products, but maybe this is not what you want.
1) Let $F_m$ be the free group on $m$ generators. Given a surjection $\varphi: F_m \rightarrow F_n$, we …
- 539
9
votes
Accepted
Cohomological dimension of groups & number of generators
Finitely generated torsion-free nilpotent groups are polycyclic. Therefore, their cohomological dimension equals their Hirsch length.This is a result of Gruenberg. One can find it in Gruenberg's book …
- 539