Groups of piecewise isometric permutations of lattice points, or Finitary rearrangements of tessellations

DOI10.1112/jlms.12503zbMath1522.20165arXiv2110.05788OpenAlexW3207252893WikidataQ114077865 ScholiaQ114077865MaRDI QIDQ6134521

Unnamed Author, Robert Bieri

Publication date: 22 August 2023

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

Full work available at URL: https://arxiv.org/abs/2110.05788

zbMATH Keywords

geometric group theoryfinitary rearrangementpiecewise isometric permutationtassellation

Mathematics Subject Classification ID

Geometric group theory (20F65) Homological methods in group theory (20J05) Discrete subgroups of Lie groups (22E40) General theory for infinite permutation groups (20B07) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commensurations and metric properties of Houghton's groups
• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Graph-wreath products and finiteness conditions
• Moduli of graphs and automorphisms of free groups
• A geometric invariant of discrete groups
• Valuations on free resolutions and higher geometric invariants of groups
• Cohomologie d'immeubles et de groupes S-arithmétiques
• The first cohomology of a group with permutation module coefficients
• Mayer-Vietoris sequences for HNN-groups and homological duality
• On groups of type \((FP)_\infty\)
• Morse theory and finiteness properties of groups
• Finiteness properties of duality groups
• Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree
• Thompson groups for systems of groups, and their finiteness properties
• Elementary classes of groups.
• Chain conditions, elementary amenable groups, and descriptive set theory
• An irrational-slope Thompson's group
• Conjugacy in Houghton's groups.
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Embeddings into Thompson's group V and coCF groups
• Centralizers in Houghton’s Groups
• Cohomological finiteness conditions for elementary amenable groups
• Piecewise SL 2 Z Geometry
• On the $\Sigma$-Invariants of Generalized Thompson Groups and Houghton Groups
• Connectivity properties of group actions on non-positively curved spaces
• HOMOLOGICAL FINITENESS PROPERTIES OF WREATH PRODUCTS
• The co-word problem for the Higman-Thompson group is context-free
• Finiteness properties of groups