Groups of automorphisms of trees and their limit sets     Groups  automorphisms  trees  limit sets       font style='font-size:12px;'> 2015/8/26

Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...

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Amenable, transitive and faithful actions of groups acting on trees     Amenable  transitive  faithful actions  groups  trees       font style='font-size:12px;'> 2012/3/1

We study under which condition an amalgamated free product or an HNN-extension over a finite subgroup admits an amenable, transitive and faithful action on an infinite countable set. We show that such...

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Membership Problem in groups acting freely on Z^n-trees     Membership Problem  Group Theory       font style='font-size:12px;'> 2011/8/25

Abstract: Groups acting freely on Z^n-trees (Z^n-free groups) play a key role in the study of non-archimedean group actions. Following Stallings' ideas, we develop graph-theoretic techniques to invest...

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Completely Metrisable Groups Acting on Trees      Completely metrisable groups  Locally compact groups  Actions on trees       font style='font-size:12px;'> 2010/12/15

We consider actions of completely metrisable groups on simplicial trees in the context of the Bass–Serre theory. Our main result characterises continuity of the amplitude function corresponding to a g...

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