The Dehn function of Baumslag's metabelian group.
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Publication:431071
DOI10.1007/s10711-011-9623-yzbMath1251.20039arXiv1008.1966OpenAlexW2048295742MaRDI QIDQ431071
Martin Kassabov, Timothy R. Riley
Publication date: 26 June 2012
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.1966
Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)
Related Items (4)
Metric properties of Diestel-Leader groups. ⋮ Higher rank lamplighter groups are graph automatic ⋮ Local topological properties of asymptotic cones of groups. ⋮ Dehn functions of finitely presented metabelian groups
Cites Work
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- Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups.
- On quadratic Dehn functions.
- Horocyclic products of trees
- Distortion of wreath products in some finitely presented groups.
- Isoperimetric inequalities and the homology of groups
- Isoperimetric inequalities for nilpotent groups.
- Filling in solvable groups and in lattices in semisimple groups.
- On a question of Atiyah
- Pushing fillings in right-angled Artin groups
- An isoperimetric function for Bestvina-Brady groups
- Presentations of finite simple groups: A quantitative approach
- The Integral Homology of Finitely Generated Metabelian Groups. I.
- Solvable groups with polynomial Dehn functions
- Nilpotent groups without exactly polynomial Dehn function
- A Finitely Presented Metabelian Group with a Free Abelian Derived Group of Infinite Rank
- A finitely presented group with unbounded dead-end depth
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