Random groups have fixed points on $\mathrm{CAT}(0)$ cube complexes

DOI10.1090/S0002-9939-2011-11343-1zbMath1238.53029arXiv1012.4147OpenAlexW2962863921MaRDI QIDQ2880663

Tetsu Toyoda, Koji Fujiwara

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1012.4147

zbMATH Keywords

expanderscube complexrandom groupsisometric actiongraph model

Mathematics Subject Classification ID

Geometric group theory (20F65) Metric geometry (51F99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Probabilistic methods in group theory (20P05)

Related Items (4)

CAT(0) spaces and expanders. ⋮ Uniform estimates of nonlinear spectral gaps ⋮ Fixed-point property of random quotients by plain words. ⋮ Nonpositive curvature is not coarsely universal

Cites Work

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• Addendum to ``Random walk in random groups by M. Gromov.
• \(N\)-step energy of maps and the fixed-point property of random groups.
• Fixed-point property of random groups.
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• Towards a Calculus for Non-Linear Spectral Gaps [Extended Abstract]
• Generalized harmonic maps and representations of discrete groups

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