Abstract
We find up to multiplicative constant isoperimetric profiles of wreath products and related groups. Those are the first examples where the explicitly calculated asymptotics of isoperimetric profile is neither polynomial nor exponential.
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Erschler, A. On Isoperimetric Profiles of Finitely Generated Groups. Geometriae Dedicata 100, 157–171 (2003). https://doi.org/10.1023/A:1025849602376
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DOI: https://doi.org/10.1023/A:1025849602376