Isoperimetric Inequalities in Nilpotent Groups

DOI10.1112/S0024610797005140zbMath0942.20024OpenAlexW2012934620MaRDI QIDQ4357301

Christophe Pittet

Publication date: 24 April 2000

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

Full work available at URL: https://doi.org/10.1112/s0024610797005140

zbMATH Keywords

finitely generated nilpotent groupsnilpotent Lie groupsisoperimetric functionsDehn functionsfilling functionsfree nilpotent groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Nilpotent groups (20F18) Topological methods in group theory (57M07) Nilpotent and solvable Lie groups (22E25) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (11)

QUASI-ISOMETRY INVARIANTS AND ASYMPTOTIC CONES ⋮ Solvable groups with polynomial Dehn functions ⋮ Full residual finiteness growths of nilpotent groups ⋮ Filling inequalities for nilpotent groups through approximations. ⋮ Isoperimetry of nilpotent groups ⋮ Cone‐equivalent nilpotent groups with different Dehn functions ⋮ A geometric criterion for the boundedness of characteristic classes ⋮ On quadratic Dehn functions. ⋮ Filling invariants of stratified nilpotent Lie groups ⋮ Exponential radicals of solvable Lie groups ⋮ Integrable measure equivalence for groups of polynomial growth

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