Incommensurable lattices in Baumslag–Solitar complexes

DOI10.1112/jlms.12879arXiv2207.14703OpenAlexW4392623801MaRDI QIDQ6203101

Max Forester

Publication date: 26 March 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14703

zbMATH Keywords

latticetreeCayley graphCW-complexBaumslag-Solitar group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Discrete subgroups of Lie groups (22E40) General properties and structure of locally compact groups (22D05) Groups acting on trees (20E08)

Cites Work

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• Isomorphisms of Cayley graphs on nilpotent groups
• The isomorphism problem for generalized Baumslag-Solitar groups with one mobile edge
• Covering theory for graphs of groups
• Generalized Baumslag-Solitar groups: rank and finite index subgroups
• Splittings of generalized Baumslag-Solitar groups.
• On the automorphism group of generalized Baumslag-Solitar groups.
• On the isomorphism problem for generalized Baumslag-Solitar groups.
• Deformation spaces of \(G\)-trees and automorphisms of Baumslag-Solitar groups.
• Automorphisms and Hopficity of certain Baumslag-Solitar groups
• The structure of totally disconnected, locally compact groups
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• On uniqueness of JSJ decompositions of finitely generated groups.
• Deformation and rigidity of simplicial group actions on trees.
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Which finitely generated abelian groups admit isomorphic Cayley graphs?
• Complete square complexes.
• The isomorphism problem for one-relator groups with non-trivial centre
• Non-uniform lattices on uniform trees
• Uniform Tree Lattices
• A note on centrality in 3-manifold groups
• Whitehead moves for G -trees
• Finite and infinite cyclic extensions of free groups
• Construction de réseaux en théorie de Kac-Moody
• Commensurability of Baumslag-Solitar groups
• Small non-Leighton two-complexes
• Lattices in product of trees
• The large scale geometry of the higher Baumslag-Solitar groups
• Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness