Nilpotent groups without exactly polynomial Dehn function

DOI10.1112/jtopol/jtq038zbMath1227.20039arXiv1004.2907OpenAlexW2963213350MaRDI QIDQ5392975

Stefan Wenger

Publication date: 15 April 2011

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2907

zbMATH Keywords

asymptotic conesRiemannian manifoldsisoperimetric inequalitiesnilpotent groupsfinitely presented groupsCarnot groupsDehn functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Nilpotent groups (20F18) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50)

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Filling inequalities for nilpotent groups through approximations. ⋮ Isoperimetry of nilpotent groups ⋮ Scalable spaces ⋮ Geometric presentations of Lie groups and their Dehn functions ⋮ Undistorted fillings in subsets of metric spaces ⋮ Dehn functions and Hölder extensions in asymptotic cones ⋮ Cone‐equivalent nilpotent groups with different Dehn functions ⋮ The Dehn function of Baumslag's metabelian group. ⋮ Filling invariants of stratified nilpotent Lie groups ⋮ Asymptotic invariants, complexity of groups and related problems

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