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Results tagged with trees
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user 12996
A tree is a connected graph without cycles, with a finite or infinite number of vertices. There are many variants of trees, according to further constraints or decorations.
3
votes
1
answer
325
views
Group actions on trees and translates under hyperbolic elements
I have the following question regarding group actions on trees to which I suspect the answer to be "yes", but it could very well be that extra conditions are required (it is certainly true for free actions … on trees):
Let $G$ be a finitely generated group acting by simplicial automorphisms on a minimal simplicial tree $T$ (here, minimal means that $T$ does not have a $G$-invariant proper subgraph, and it …
- 937
15
votes
2
answers
1k
views
Translation length functions of non-simplicial trees
By a theorem of Culler and Morgan, the set of non-abelian (not necessarily simplicial) minimal $\mathbb{R}$-trees with isometric $G$-action injects into the infinite-dimensional vector space $\mathbb{R …
- 937