The Dehn functions of Stallings-Bieri groups

DOI10.1007/s00208-016-1470-6zbMath1423.20042arXiv1509.07539OpenAlexW2963025840MaRDI QIDQ2396236

Yanyan Li

Publication date: 7 June 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07539

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36)

Related Items (4)

On the geometry of Cayley automatic groups ⋮ Dehn functions of coabelian subgroups of direct products of groups ⋮ Residually free groups do not admit a uniform polynomial isoperimetric function ⋮ Identifying Dehn functions of Bestvina-Brady groups from their defining graphs

Cites Work

• Lamplighters, metabelian groups, and horocyclic products
• Snowflake groups, Perron-Frobenius eigenvalues and isoperimetric spectra.
• The Dehn function of Stallings' group.
• Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities
• Morse theory and finiteness properties of groups
• Filling in solvable groups and in lattices in semisimple groups.
• The Dehn function of \(\text{SL}(n;\mathbb Z)\).
• Pushing fillings in right-angled Artin groups
• An isoperimetric function for Bestvina-Brady groups
• Finitely Presented Subgroups of Automatic Groups and their Isoperimetric Functions
• A Finitely Presented Group Whose 3-Dimensional Integral Homology is not Finitely Generated
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