Divergence function of the braided Thompson group

DOI10.1215/21562261-10428532zbMath1527.20067arXiv2012.03785OpenAlexW4322708043MaRDI QIDQ6046574

Yuya Kodama

Publication date: 11 May 2023

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03785

zbMATH Keywords

asymptotic conesdivergence functionbraided Thompson group

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36)

Cites Work

• The braided Thompson's groups are of type \(F_\infty\)
• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Pure braid subgroups of braided Thompson's groups.
• Quadratic divergence of geodesics in CAT(0) spaces
• Introductory notes on Richard Thompson's groups
• Geometric structures related to the braided Thompson groups
• A new family of infinitely braided Thompson's groups
• Divergence functions of Thompson groups
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• The group of parenthesized braids.
• Metrics and embeddings of generalizations of Thompson’s group $F$
• Divergence in lattices in semisimple Lie groups and graphs of groups
• Metric properties of braided Thompson's groups
• The algebra of strand splitting. I. A braided version of Thompson's group V
• Braid Groups
• THE ALGEBRA OF STRAND SPLITTING II: A PRESENTATION FOR THE BRAID GROUP ON ONE STRAND
• Finiteness properties of groups

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