Amenable groups with very poor compression into Lebesgue spaces

Tim Austin

Research output: Contribution to journalArticlepeer-review


We give a construction of finitely generated amenable groups that do not admit any coarse 1-Lipschitz embedding with positive compression exponent into Lp for any 1 ≤ p < ∞, including some that are four-step solvable, answering positively a question posed by Arzhantseva, Guba, and Sapir.

Original languageEnglish (US)
Pages (from-to)187-222
Number of pages36
JournalDuke Mathematical Journal
Issue number2
StatePublished - Aug 15 2011

ASJC Scopus subject areas

  • General Mathematics


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