A note on torsion subgroups of groups acting on finite-dimensional CAT(0) cube complexes

DOI10.1016/j.disc.2020.111832zbMath1481.20152arXiv1905.00738OpenAlexW3005505741MaRDI QIDQ2174576

Anthony Genevois

Publication date: 21 April 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00738

zbMATH Keywords

wreath productsCAT(0) cube complexeslamplighter groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Extensions, wreath products, and other compositions of groups (20E22)

Cites Work

• Unnamed Item
• Weak amenability of CAT(0)-cubical groups
• Rank rigidity for CAT(0) cube complexes.
• Constructing group actions on quasi-trees and applications to mapping class groups
• Groups acting on \(\text{CAT}(0)\) cube complexes
• Contracting elements and random walks
• Cubulating spaces with walls.
• A generalized axis theorem for cube complexes
• A Bożejko-Picardello type inequality for finite-dimensional CAT(0) cube complexes
• Proper actions of lamplighter groups associated with free groups
• Some geometric groups with rapid decay
• Acylindrically hyperbolic groups
• 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
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• The Tits Alternative for Cat(0) Cubical Complexes

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