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Two-generated groups acting on trees

Archiv der Mathematik, 1999
Let \(G\) be a group acting on a simplicial tree \(T\) without inversions, and let the edge stabilizers be non-trivial. If \(g,h\in G\) generate \(G\) (\(\langle g,h\rangle=G\)) or if \(\langle g,h\rangle\) is neither cyclic nor a free product of cyclic groups, then it is proved that the pair \(\{g,h\}\) is Nielsen equivalent to \(\{f,s\}\) and some ...
Kapovich, Ilya, Weidmann, Richard
openaire   +2 more sources

Pro-p groups that act on profinite trees

Journal of Group Theory, 2008
This paper is concerned with second countable pro-\(p\) groups that act on a profinite tree with trivial edge stabilizers. The motivation for this work lies in the fact that the structure of an abstract group acting on a tree can often be described in terms of the stabilizers and edges of the tree, using the Bass-Serre theory.
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Abstract Commensurators of Groups Acting on Rooted Trees

Geometriae Dedicata, 2002
The author has previously constructed a family of finitely-presented, infinite, simple groups, each realized as the commutator subgroup of a group generated by a Higman-Thompson group and a group acting on a locally-finite, spherically-homogeneous tree. The current paper is motivated by the goal of obtaining a more algebraic description of these groups.
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Presentation of groups acting on trees with inversions

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989
SynopsisThe Bass-Serre theory of groups acting on trees without inversions is extended to the case in which the action with inversions is possible.
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Homomorphic images of locally compact groups acting on trees and buildings

Monatshefte Fur Mathematik, 2022
Max Carter, George A Willis
exaly  

Discrete and free groups acting on locally finite trees

Journal of Algebra, 2022
Matthew J Conder
exaly  

Infinite characters on GL(Q), on SL (Z), and on groups acting on trees

Journal of Functional Analysis, 2019
Bachir Bekka
exaly  

Membership Problem in groups acting freely on Zn-trees

Journal of Algebra, 2012
Andrey Nikolaev
exaly  

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