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Results tagged with group-actions
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user 1463
1
vote
Group Action with a Fixed-Point Property
The following was inspired by Jesse Peterson's answer.
Let $M^n$ be a closed hyperbolic manifold, eg a surface, and consider the action of $\Gamma=\pi_1M$ on the boundary at infinity of hyperbolic $n …
- 25.2k
7
votes
What one group action can tell about another
The Schwarz--Milnor lemma seems like a good example of what you're asking for. (But, as per my comment, is only really useful in certain contexts, i.e. infinite discrete groups.)
It applies when your …
- 25.2k
8
votes
Accepted
Fundamental groups of hyperbolic $4$-manifolds and $\rm CAT(0)$ cube complexes
This question is certainly open in general. I don't know if anyone has formally expressed an 'expectation' in print, but you might be interested in the following pieces of positive evidence.
I believ …
- 25.2k