Embedding of hyperbolic groups into products of binary trees

• 成果类型: Article
• 署名作者: Buyalo, Sergei; Dranishnikov, Alexander; Schroeder, Viktor
• 署名单位: Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences; State University System of Florida; University of Florida; University of Zurich
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0045-2
• 发表日期: 2007
• 页码: 153-192
• 关键词: spaces

摘要

We show that every Gromov hyperbolic group Gamma admits a quasi-isometric embedding into the product of n+1 binary trees, where n=dim partial derivative(infinity) Gamma is the topological dimension of the boundary at infinity of Gamma.