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Results tagged with gr.group-theory
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user 2039
Questions about the branch of algebra that deals with groups.
16
votes
Accepted
Closed 3-manifolds with free abelian fundamental groups
(I assume all occuring 3-manifolds to be orientable and closed)
A manifold with a free abelian fundamental group cannot be a connected sum of non-trivial 3-manifolds since its fundamental group is no …
- 12.1k
3
votes
2
answers
957
views
Group Cohomology of Symmetric Powers
Let $G$ be a finite group and $V$ be an integral representation of $G$, i.e. a free abelian group of finite rank with $G$-action. Now consider the symmetric power $Sym(V)$ of $V$ over $\mathbb{Z}$, wh …
- 12.1k