Median sets of isometries in \(\mathrm{CAT}(0)\) cube complexes and some applications

DOI10.1307/mmj/20195823OpenAlexW3161243262MaRDI QIDQ2167786

Anthony Genevois

Publication date: 31 August 2022

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04883

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (2)

No quasi-isometric rigidity for proper actions on CAT(0) cube complexes ⋮ A note on abelian cubulated groups

Cites Work

• Unnamed Item
• A cubical flat torus theorem and the bounded packing property
• Rank rigidity for CAT(0) cube complexes.
• Finite index subgroups of graph products.
• Property \(A\) and \(\text{CAT}(0)\) cube complexes.
• Finiteness and CAT(0) properties of diagram groups.
• Cubulating spaces with walls.
• The simplicial boundary of a CAT(0) cube complex
• Graphs of some CAT(0) complexes
• Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups
• A generalized axis theorem for cube complexes
• Special cube complexes
• The median class and superrigidity of actions on CAT(0) cube complexes
• Proper actions of wreath products and generalizations
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• Semisimple actions of mapping class groups on CAT(0) spaces
• Groups acting on cubes and Kazhdan’s property (T)
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Discreteness properties of translation numbers in solvable groups
• Virtually Cocompactly Cubulated Artin–Tits Groups
• Braided diagram groups and local similarity groups
• A parabolic action on a proper, CAT(0) cube complex
• A Certain Subgroup of the Fundamental Group
• The Tits Alternative for Cat(0) Cubical Complexes

This page was built for publication: Median sets of isometries in \(\mathrm{CAT}(0)\) cube complexes and some applications