Results 31 to 40 of about 32,521 (269)
a-T-menability of groups acting on trees [PDF]
We present some partial results concerning a-T-menability of groups acting on trees. Various known results are given uniform proofs.
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On knot groups acting on trees
A finitely generated group [Formula: see text] acting on a tree with infinite cyclic edge and vertex stabilizers is called a generalized Baumslag–Solitar group (GBS group). We prove that a one-knot group [Formula: see text] is a GBS group if and only if [Formula: see text] is a torus knot group, and describe all n-knot GBS groups for [Formula: see ...
Fedor A. Dudkin, Andrey S. Mamontov
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Zeta Functions of Discrete Groups Acting on Trees
This paper generalizes Bass' work on zeta functions for uniform tree lattices. Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of operators defined on edges or vertices of the tree.
Clair, Bryan, Mokhtari-Sharghi, Shahriar
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Highly transitive actions of groups acting on trees [PDF]
We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable set. This result is actually true for infinite vertex stabilizers and some more general, finite of infinite, edge stabilizers that we call highly core-free. We study the notion
Fima, Pierre +2 more
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Correction to: Acylindrical hyperbolicity of groups acting on trees [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minasyan, A., Osin, D.
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Acylindrical hyperbolicity of groups acting on trees
We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and ...
Osin, Denis +3 more
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The equation x^py^q=z^r and groups that act freely on \Lambda-trees
Let $G$ be a finitely generated group that acts freely on a $\Lambda$-tree, where $\Lambda$ is an ordered abelian group, and let $x, y, z$ be elements in $G$.
O Rourke, Shane +3 more
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On the intersection of tame subgroups in groups acting on trees [PDF]
Let [Formula: see text] be a group acting on a tree [Formula: see text] with finite edge stabilizers of bounded order. We provide, in some very interesting cases, upper bounds for the complexity of the intersection [Formula: see text] of two tame subgroups [Formula: see text] and [Formula: see text] of [Formula: see text] in terms of the complexities ...
Lentzos, K., Sykiotis, M.
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Ecological theories of facilitation and nucleation are proposed as a basis for environmental restoration in tropical ecosystems. The main goal of this paper is to present restoration techniques based on the concept of nucleation, in which small nuclei of
Ademir Reis +2 more
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Dimension and randomness in groups acting on rooted trees [PDF]
We explore the structure of the p p -adic automorphism group
Abért, Miklós, Virág, Bálint
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