Diagram groups
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Publication:4377871
DOI10.1090/memo/0620zbMath0930.20033arXivmath/0005105OpenAlexW4236354959WikidataQ63090228 ScholiaQ63090228MaRDI QIDQ4377871
Publication date: 12 March 1998
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0005105
fundamental groupsmonoid presentationsThompson groupconjugacy problemcombinatorics on wordsdiagram groupsvan Kampen diagramsspherical diagramsSquier complexescentralizers of elements
Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
Related Items (84)
The Dehn function of Richard Thompson's group \(F\) is quadratic. ⋮ Systems of equations over the group ring of Thompson’s group F ⋮ A Lyndon's identity theorem for one-relator monoids ⋮ Hyperplanes of Squier's cube complexes ⋮ Conjugacy and centralizers in groups of piecewise projective homeomorphisms ⋮ Torsion-free word hyperbolic groups are noncommutatively slender ⋮ On diagram groups over Fibonacci-like semigroup presentations and their generalizations ⋮ Structure of small cancellation rings ⋮ Centralizers in the R. Thompson group \(V_n\). ⋮ Direct decompositions of groups of piecewise linear homeomorphisms of the unit interval ⋮ On Jones' subgroup of R. Thompson group \(F\) ⋮ Tamari lattices, forests and Thompson monoids ⋮ R. Thompson’s group and the amenability problem ⋮ Analysis approach to finite monoids ⋮ Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups ⋮ Group-like small cancellation theory for rings ⋮ An n -adic generalization of the Lodha–Moore group ⋮ Homotopy bases and finite derivation type for subgroups of monoids. ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Conjugator length in Thompson's groups ⋮ For finitely presented monoids the homological finiteness conditions FHT and \(\text{bi-FP}_3\) coincide ⋮ Undecidable properties of monoids with word problem solvable in linear time. II: Cross sections and homological and homotopical finiteness conditions. ⋮ Forest-skein groups II: Construction from homogeneously presented monoids ⋮ Quasi-isometric embeddings from generalised Thompson's groups to Thompson's group \(T\) ⋮ On the dimension growth of groups. ⋮ A Thompson group for the basilica ⋮ Semi-simple actions of the Higman-Thompson groups \(T_n\) on finite-dimensional CAT(0) spaces ⋮ Conjugacy classes and automorphisms of twin groups ⋮ On the stabilizers of finite sets of numbers in the R. Thompson group $F$ ⋮ The simultaneous conjugacy problem in groups of piecewise linear functions. ⋮ The Generation Problem in Thompson Group 𝐹 ⋮ On subgroups of R. Thompson’s group $F$ ⋮ Metrics and embeddings of generalizations of Thompson’s group $F$ ⋮ On spectral measures for certain unitary representations of R. Thompson's group F ⋮ Thompson's group \(F\) is not almost convex. ⋮ Simple groups of dynamical origin ⋮ A solvable conjugacy problem for finitely presented \(C(3)\) semigroups. ⋮ On some homotopical and homological properties of monoid presentations. ⋮ Hyperbolic and cubical rigidities of Thompson's group \(V\) ⋮ The word problem for one-relation monoids: a survey ⋮ Operad groups and their finiteness properties ⋮ The conjugacy problem in extensions of Thompson's group \(F\) ⋮ Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups ⋮ A note on automatic continuity ⋮ Quasiautomorphism groups of type \(F_\infty\) ⋮ Conjugacy in Thompson’s group 𝐹 ⋮ On the Ore condition for the group ring of R. Thompson’s group F ⋮ Conjugacy and dynamics in Thompson's groups. ⋮ Monoid generalizations of the Richard Thompson groups. ⋮ Groups acting on semimetric spaces and quasi-isometries of monoids ⋮ Properties of Richard Thompson's group \(F\) related to Følner sets. ⋮ Hyperbolic diagram groups are free ⋮ The braided Ptolemy-Thompson group is finitely presented. ⋮ Universal diagram groups with identical Poincaré series. ⋮ Polynomial upper bounds for the Dehn function of R. Thompson's group F ⋮ Distortion of wreath products in Thompson's group \(F\). ⋮ An abstract characterization of Thompson's group \(F\). ⋮ On properties not inherited by monoids from their Schützenberger groups. ⋮ On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids ⋮ Presentations of higher dimensional Thompson groups. ⋮ Actions of picture groups on CAT(0) cubical complexes. ⋮ Homological and finiteness properties of picture groups ⋮ On the conjugacy growth functions of groups. ⋮ Algebraic characterisation of relatively hyperbolic special groups ⋮ On the wgsc and qsf tameness conditions for finitely presented groups ⋮ On Jones’ subgroup of R. Thompson’s group T ⋮ Autostackability of Thompson's group \(F\) ⋮ On preservation of automatic continuity ⋮ Groupoids and the algebra of rewriting in group presentations ⋮ Determining solubility for finitely generated groups of PL homeomorphisms ⋮ Automorphisms of generalized Thompson groups ⋮ Divergence functions of Thompson groups ⋮ Rearrangement groups of fractals ⋮ Embeddings into Thompson's group V and coCF groups ⋮ Quasi-isometrically embedded subgroups of Thompson's group \(F\) ⋮ Laws with constants in Thompson's group \({F}\) ⋮ Finite homotopy bases of one-relator monoids ⋮ Conjugacy problem in groups with quadratic Dehn function ⋮ Efficiency for self semi-direct products of the free Abelian monoid on two generators. ⋮ Irreducibility of the wysiwyg representations of Thompson's groups ⋮ Congruences of convex algebras. ⋮ Asymptotic invariants, complexity of groups and related problems ⋮ Evacuation schemes on Cayley graphs and non-amenability of groups ⋮ On automorphisms and splittings of special groups
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