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Results tagged with at.algebraic-topology
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user 497616
Homotopy theory, homological algebra, algebraic treatments of manifolds.
6
votes
1
answer
272
views
Proper action on product manifold
Suppose that $\mathbb{R}^n$ is the maximal group that can act properly on a manifold $N$ and $\mathbb{R}^m$ is the maximal group that can act properly on a manifold $M$ ( i.e, $\mathbb{R}^{m+1}$ can't …
1
vote
1
answer
162
views
fundamental group of $X/\mathbb{R}^n$
Suppose with have a topological manifold $X$ and a group $G$, is there a way to compute the fundamental group of $X/G$ in function of $\pi(X)$ and $\pi(G)$?
are there any settings on X that can simp …
0
votes
0
answers
220
views
The largest value of $k$ for $\mathbb{Z}^k$ to be embedded in $GL(n,\mathbb{Z})$
This is just a question originated from This conversation (commented by Moishe Kohan). I tried to prove those two assertions but I don't know where to start:
If H is a free abelian subgroup of $SL(n, …