Groups with non-simply connected asymptotic cones

2005/01/31 by A. Yu. Olshanskii, Alexander Olshanskii, Olshanskii, A. Yu. +2
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.math/0501542

6 pages

arxiv created 2005/01/31 · openalex publication_date 2005/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a group (an HNN extension of a free group) with polynomial isoperimetric function, linear isodiametric function and non-simply connected asymptotic cones.

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