Quasi-Isometric Bounded Generation by Q-Rank-One Subgroups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Author: Morris, Dave Witte
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210598
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quasi-Isometric Bounded Generation by Q-Rank-One Subgroups. Dave Witte Morris. SIGMA 16 (2020), 012, 17 pages

We say that a subset X quasi-isometrically boundedly generates a finitely generated group Γ if each element γ of a finite-index subgroup of Γ can be written as a product γ = x₁x₂⋯xᵣ of a bounded number of elements of X, such that the word length of each xᵢ is bounded by a constant times the word len...