Homological and finiteness properties of picture groups

DOI10.1090/S0002-9947-04-03720-1zbMath1137.20032OpenAlexW1502292439MaRDI QIDQ4679383

Daniel Scott Farley

Publication date: 30 May 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03720-1

zbMATH Keywords

rational homologyfiniteness conditionsThompson groupsdiagram groupspicture groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Homological methods in group theory (20J05)

Related Items

Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups, The homology of the Higman-Thompson groups, Topological complexity of unordered configuration spaces of certain graphs, On the cohomology rings of tree braid groups., Operad groups and their finiteness properties, Quasiautomorphism groups of type \(F_\infty\), Universal diagram groups with identical Poincaré series., On properties not inherited by monoids from their Schützenberger groups., Rearrangement groups of fractals, Finiteness Properties of Some Groups of Local Similarities

Cites Work

• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Diagram groups and directed 2-complexes: homotopy and homology.
• Introductory notes on Richard Thompson's groups
• Morse theory and finiteness properties of groups
• Morse theory for cell complexes
• Finiteness and CAT(0) properties of diagram groups.
• On the Algebra of Semigroup Diagrams
• Diagram groups
• RIGIDITY PROPERTIES OF DIAGRAM GROUPS
• On subgroups of R. Thompson's group $ F$ and other diagram groups
• Finiteness properties of groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item