On the Definition of Word Hyperbolic Groups

2000/10/12 by Robert H. Gilman, Gilman, Robert H.
Computer Science · Mathematics · #Cellular Automata and Applications #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Primary 20F67 Secondary 20F65 68Q45 #math.GR #msc:20F65 #msc:20F67 #msc:68Q45 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0010123

12 pages 4 figures

arxiv created 2000/10/12 · openalex publication_date 2000/10/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Formal languages based on the multiplication tables of finitely generated groups are investigated and used to give a linguistic characterization of word hyperbolic groups.

Related

• Word Hyperbolic Semigroups
• Boundaries of hyperbolic groups
• Computation in word-hyperbolic groups
• The generalised word problem in hyperbolic and relatively hyperbolic groups
• Multiplication tables and word-hyperbolicity in free products of semigroups, monoids, and groups