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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• Автор: Morris, Dave Witte
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210598
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...