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arXiv · 1506.06935

Metric Properties and Distortion in Wreath Products

José Burillo·Eric López-Platón
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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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José Burillo, Eric López-Platón. 2015-06-23. Metric Properties and Distortion in Wreath Products. https://arxiv.org/abs/1506.06935

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