On stable norm in word hyperbolic groups

2007/03/09 by Jean-Philippe Préaux, Preaux, Jean-Philippe
Mathematics · #20F67 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.math/0703279

openalex publication_date 2007/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work is concerned with the stable norm in word hyperbolic groups as defined by Gromov. We give a short elementary proof of one of its basic property, that is existence of a computable uniform non null lower bound for stable norm in a word hyperbolic group.

Related

• Weak Amenability of Hyperbolic Groups
• Boundaries of hyperbolic groups
• An Operator-Valued Haagerup Inequality for Hyperbolic Groups
• Computation in word-hyperbolic groups
• Word Hyperbolic Semigroups