The braided Ptolemy-Thompson group is finitely presented.

DOI10.2140/gt.2008.12.475zbMath1187.20029arXivmath/0506397OpenAlexW3101925489MaRDI QIDQ2479723

Christophe Kapoudjian, Luois Funar

Publication date: 2 April 2008

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506397

zbMATH Keywords

braid groupsfinitely presented groupsmapping class groupsThompson group \(T\)groups of homeomorphismsinfinite surfaces

Mathematics Subject Classification ID

Related Items (16)

Ratio coordinates for higher Teichmüller spaces ⋮ Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ The braided Thompson's groups are of type \(F_\infty\) ⋮ On the geometry of graphs associated to infinite-type surfaces ⋮ Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups ⋮ Graphs of curves on infinite-type surfaces with mapping class group actions ⋮ Algebraic and topological properties of big mapping class groups ⋮ Hyperbolic and cubical rigidities of Thompson's group \(V\) ⋮ A note on stable commutator length in braided Ptolemy-Thompson groups ⋮ Thompson's group \(\mathcal T\) is the orientation-preserving automorphism group of a cellular complex ⋮ The infinite associahedron and R. J. Thompson's group \(T\) ⋮ The rotation number integer quantization effect in braid groups ⋮ An infinite genus mapping class group and stable cohomology ⋮ On the automorphism group of the asymptotic pants complex of an infinite surface of genus zero ⋮ Embedding ℚ into a finitely presented group ⋮ The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization

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