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On linear divergence in finitely generated groups (2311.12938v2)
Published 21 Nov 2023 in math.GR
Abstract: In this paper, we show that wreath products of groups have linear divergence, and we generalise the argument to permutational wreath products. We also prove that Houghton groups $\mathcal{H}_m$ with $m\geq 2$ and Baumslag-Solitar groups have linear divergence. Finally, we show that wreath products of graphs and Diestel-Leader graphs have linear divergence.
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