Results 231 to 240 of about 356,557 (251)
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Two-generated groups acting on trees
Archiv der Mathematik, 1999Let \(G\) 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
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Pro-p groups that act on profinite trees
Journal of Group Theory, 2008This 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, 2002The 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, 1989SynopsisThe 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, 2022Max Carter, George A Willis
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Discrete and free groups acting on locally finite trees
Journal of Algebra, 2022Matthew J Conder
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Infinite characters on GL(Q), on SL (Z), and on groups acting on trees
Journal of Functional Analysis, 2019Bachir Bekka
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Membership Problem in groups acting freely on Zn-trees
Journal of Algebra, 2012Andrey Nikolaev
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