Quadratic isometric functions of the Heisenberg groups. A combinatorial proof

DOI10.1007/BF02366347zbMath0941.20034OpenAlexW2042345161MaRDI QIDQ1296176

Mark V. Sapir, Alexander Yu. Ol'shanskii

Publication date: 16 August 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02366347

zbMATH Keywords

Heisenberg groupscentral products2-nilpotent groupsquadratic isoperimetric functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Nilpotent groups (20F18) Nilpotent and solvable Lie groups (22E25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (11)

QUASI-ISOMETRY INVARIANTS AND ASYMPTOTIC CONES ⋮ Filling inequalities for nilpotent groups through approximations. ⋮ On the geometry of Cayley automatic groups ⋮ Cone‐equivalent nilpotent groups with different Dehn functions ⋮ Volume distortion in groups. ⋮ On quadratic Dehn functions. ⋮ Filling invariants of stratified nilpotent Lie groups ⋮ Contact equations, Lipschitz extensions and isoperimetric inequalities ⋮ The large-scale geometry of locally compact solvable groups ⋮ Conjugacy problem in groups with quadratic Dehn function ⋮ Asymptotic invariants, complexity of groups and related problems

Cites Work

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• An isoperimetric inequality for the Heisenberg groups
• HYPERBOLICITY OF GROUPS WITH SUBQUADRATIC ISOPERIMETRIC INEQUALITY

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