Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexes

DOI10.1112/blms.12697zbMath1523.20061arXiv2108.04929OpenAlexW3188440945MaRDI QIDQ6051402

Martín Axel Blufstein

Publication date: 20 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.04929

zbMATH Keywords

Artin groupparabolic subgroupconjugacy stable subgroup

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (2)

The conjugacy stability problem for parabolic subgroups in Artin groups ⋮ Parabolic subgroups inside parabolic subgroups of Artin groups

Cites Work

• Artin-Tits groups with CAT(0) Deligne complex.
• Simplicial nonpositive curvature
• Sectional curvature, compact cores, and local quasiconvexity
• Nonpositively curved metrics on 2-polyhedra
• Graphs of some CAT(0) complexes
• Parabolic subgroups in FC-type Artin groups
• On parabolic subgroups of Artin-Tits groups of spherical type
• Metric systolicity and two-dimensional Artin groups
• Tits alternatives for graph products
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
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