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Metric Properties and Distortion in Wreath Products

2015/06/23 by José Burillo, Burillo, José, Eric López-Platón +1
Engineering · Mathematics · Medicine · #20F65 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Numerical methods in engineering #Soft tissue tumor case studies #math.GR #msc:20F65

paper · pdf · doi:10.48550/arxiv.1506.06935

arxiv created 2015/06/23 · openalex publication_date 2015/06/23 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a finitely generated regular wreath product, the metric is known, but its computation can be an NP-complete problem. Also, it is not known for the nonregular case. In this article, a metric estimate is defined for regular wreath products which can be computed in polynomial time, based on the metrics of the factors. This estimate is then used to study the distortion of some natural subgroups of a wreath product. Finally, the metric estimate is generalized to the nonregular case.

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