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arXiv · 0909.2047

A finitely-generated amenable group with very poor compression into Lebesgue spaces

Tim Austin
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Abstract

We construct an example of a finitely-generated amenable group that does not admit any coarse 1-Lipschitz embedding with positive compression exponent into L_p for any 1 \leq p < \infty, answering positively a question of Arzhantseva, Guba and Sapir.

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Tim Austin. 2011-04-05. A finitely-generated amenable group with very poor compression into Lebesgue spaces. https://doi.org/10.1215/00127094-1415860

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