Non-positively curved aspects of Artin groups of finite type.
Bestvina, Mladen (1999)
Geometry & Topology
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Displaying similar documents to “On asymptotic dimension of groups.”
Non-positively curved aspects of Artin groups of finite type.
On the dimension of 2-dimensional Bestvina-Brady groups.
Crisp, John (2002)
Algebraic & Geometric Topology
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Asymptotic dimension of one relator groups
Dmitry Matsnev (2008)
Colloquium Mathematicae
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We show that one relator groups viewed as metric spaces with respect to the word-length metric have finite asymptotic dimension in the sense of Gromov, and we give an improved estimate of that dimension in terms of the relator length. The construction is similar to one of Bell and Dranishnikov, but we produce a sharper estimate.
Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
Crisp, John, Wiest, Bert (2004)
Algebraic & Geometric Topology
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Groups acting on cube complexes.
Niblo, Graham, Reeves, Lawrence (1997)
Geometry & Topology
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Buildings and non-positively curved polygons of finite groups.
Brown, Paul R. (1998)
The New York Journal of Mathematics [electronic only]
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The geometry of abstract groups and their splittings.
Charles Terence Clegg Wall (2003)
Revista Matemática Complutense
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A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PD groups. Notions of quasi-isometry,...
On the linearity problem for mapping class groups.
Brendle, Tara E., Hamidi-Tehrani, Hessam (2001)
Algebraic & Geometric Topology
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Splittings of groups and intersection numbers.
Scott, Peter, Swarup, Gadde A. (2000)
Geometry & Topology
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Asymptotic dimension of discrete groups
A. Dranishnikov, J. Smith (2006)
Fundamenta Mathematicae
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We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.
Cubulating spaces with walls.
Nica, Bogdan (2004)
Algebraic & Geometric Topology
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Finiteness of classifying spaces of relative diffeomorphism groups of 3-manifolds.
Hatcher, Allen, McCullough, Darryl (1997)
Geometry & Topology
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The asymptotic dimension of the first Grigorchuk group is infinity.
Justin Smith (2007)
Revista Matemática Complutense
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We describe a sufficient condition for a finitely generated group to have infinite asymptotic dimension. As an application, we conclude that the first Grigorchuk group has infinite asymptotic dimension.
Commensurability of graph products.
Januszkiewicz, Tadeusz, Świa̧tkowski, Jacek (2001)
Algebraic & Geometric Topology
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