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Timeline for Groups acting on trees

Current License: CC BY-SA 4.0

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S Mar 2, 2019 at 11:27 history suggested user21820 CC BY-SA 4.0
grammar fix
Mar 2, 2019 at 11:25 review Suggested edits
S Mar 2, 2019 at 11:27
Mar 1, 2019 at 23:56 comment added YCor @MariaGerasimova you have to discard the focal case. Writing, for instance, the solvable group $\mathbf{Z}\wr\mathbf{Z}$ as an ascending HNN extension (w.r.t. an endomorphism with image of finite index), you make it act vertex-transitively on a tree with infinite valency (with abelian stabilizers). So you need to explicitly exclude the case of a fixed point at infinity.
Mar 1, 2019 at 23:40 comment added Maria Gerasimova Thank you! And if I assume that stabilizers are amenable, will it be the same?
Mar 1, 2019 at 23:15 history answered YCor CC BY-SA 4.0