Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes

DOI10.1142/S0218196714500349zbMath1321.20039arXiv1309.5553OpenAlexW3103888823MaRDI QIDQ2934266

Yoshiyuki Nakagawa, Makoto Tamura, Yasushi Yamashita

Publication date: 12 December 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5553

zbMATH Keywords

hyperbolic groupsautomatic groupsCAT(0) cube complexes

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (3)

CAT(0) cube complexes with flat hyperplanes ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Algebraic characterisation of relatively hyperbolic special groups

Cites Work

• Periodic flats in CAT(0) cube complexes.
• The geometry of cube complexes and the complexity of their fundamental groups
• Cubulating small cancellation groups.
• Strongly geodesically automatic groups are hyperbolic
• Geometry of cubulated 3-manifolds
• A combination theorem for special cube complexes.
• Special cube complexes
• Regular path systems and (bi)automatic groups.
• TRIANGLES, SQUARES AND GEODESICS
• Quasi-flats in semihyperbolic groups
• On Geometric Flats in the CAT(0) Realization of Coxeter Groups and Tits Buildings

This page was built for publication: Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes