Tits alternative for Artin groups of type FC

DOI10.1515/JGTH-2019-0135zbMath1467.20032arXiv1906.07393OpenAlexW3012393242MaRDI QIDQ778128

D. Kharzeev

Publication date: 1 July 2020

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07393

zbMATH Keywords

free groupTits alternativeArtin groupCAT(0) group

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) FC-groups and their generalizations (20F24)

Related Items (4)

Tits Alternative for -dimensional complexes ⋮ Groups acting on CAT(0) cube complexes with uniform exponential growth ⋮ Most big mapping class groups fail the Tits alternative ⋮ Parabolic subgroups of large-type Artin groups

Cites Work

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• The 6-strand braid group is \(\mathrm{CAT}(0)\).
• Cocompactly cubulated 2-dimensional Artin groups
• On the groups of birational transformations of surfaces
• Rank rigidity for CAT(0) cube complexes.
• The geometry of cube complexes and the complexity of their fundamental groups
• Normalizer and Artin group of spherical type.
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Linearity of Artin groups of finite type.
• On parabolic subgroups of Artin-Tits groups of spherical type
• Tits alternatives for graph products
• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• Free subgroups in linear groups
• The median class and superrigidity of actions on CAT(0) cube complexes
• The Furstenberg–Poisson boundary and CAT(0) cube complexes
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Large‐type Artin groups are systolic
• The Tits Alternative for Cat(0) Cubical Complexes

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