The braided Thompson's groups are of type \(F_\infty\)

DOI10.1515/crelle-2014-0030zbMath1397.20053arXiv1210.2931OpenAlexW3098862681MaRDI QIDQ314112

Martin G. Fluch, Stefan Witzel, Matthew C. B. Zaremsky, Kai-Uwe Bux, Marco Marschler

Publication date: 13 September 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2931

Mathematics Subject Classification ID

Simple groups (20E32) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Homological methods in group theory (20J05)

Related Items (20)

On the Finiteness length of some soluble linear groups ⋮ Matching arc complexes: connectedness and hyperbolicity ⋮ Higher connectivity of the Morse complex ⋮ Twisted Brin-Thompson groups ⋮ Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Divergence function of the braided Thompson group ⋮ Finiteness properties for relatives of braided Higman-Thompson groups ⋮ Forest-skein groups II: Construction from homogeneously presented monoids ⋮ Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs) ⋮ Higher generating subgroups and Cohen–Macaulay complexes ⋮ Simple groups separated by finiteness properties ⋮ Erratum to: ``The braided Thompson's groups are of type \(F_\infty \) ⋮ On Belk's classifying space for Thompson's group \(F\) ⋮ Classifying spaces from Ore categories with Garside families ⋮ Higher finiteness properties of braided groups ⋮ A user's guide to cloning systems ⋮ Almost-automorphisms of trees, cloning systems and finiteness properties ⋮ A short account of why Thompson's group $F$ is of type $\textrm{F}_\infty$ ⋮ Geometric structures related to the braided Thompson groups

Cites Work

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• The Brin-Thompson groups \(sV\) are of the type \(\text F_\infty\).
• The braided Ptolemy-Thompson group is asynchronously combable
• Decompositions and connectivity of matching and chessboard complexes
• On triangulations of surfaces
• Pure braid subgroups of braided Thompson's groups.
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Introductory notes on Richard Thompson's groups
• Morse theory and finiteness properties of groups
• Higher generation subgroup sets and the \(\Sigma\)-invariants of graph groups
• Finiteness and CAT(0) properties of diagram groups.
• Conjugacy and dynamics in Thompson's groups.
• The braided Ptolemy-Thompson group is finitely presented.
• The group of parenthesized braids.
• The Torelli group and congruence subgroups of the mapping class group
• Buildings
• GEOMETRIC PRESENTATIONS FOR THE PURE BRAID GROUP
• Metric properties of braided Thompson's groups
• Groups of Piecewise Linear Homeomorphisms
• Chessboard Complexes and Matching Complexes
• The Deligne complex for the four-strand braid group
• The Homological Algebra of Artin 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
• Higher generation by subgroups

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