Fractional isoperimetric inequalities and subgroup distortion

DOI10.1090/S0894-0347-99-00308-2zbMath0963.20018arXivmath/9612206OpenAlexW2139623322MaRDI QIDQ4257712

Martin R. Bridson

Publication date: 31 August 1999

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9612206

zbMATH Keywords

presentationsisoperimetric inequalityfinitely generated groupsCayley graphsfinitely presented groupsDehn functionssubgroup distorsion

Mathematics Subject Classification ID

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 (10)

QUASI-ISOMETRY INVARIANTS AND ASYMPTOTIC CONES ⋮ DISTORTION IN FREE NILPOTENT GROUPS ⋮ Solvable groups with polynomial Dehn functions ⋮ Polynomially-bounded Dehn functions of groups ⋮ The isoperimetric spectrum of finitely presented groups ⋮ GROUPS WITH QUADRATIC-NON-QUADRATIC DEHN FUNCTIONS ⋮ Cheeger constants of surfaces and isoperimetric inequalities ⋮ Examples of groups whose automorphisms have exotic growth ⋮ On the geometry of infinite cyclic subgroups. ⋮ Asymptotic invariants, complexity of groups and related problems

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