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Article Dans Une Revue International Mathematics Research Notices Année : 2019

Admitting a Coarse Embedding is Not Preserved Under Group Extensions

Résumé

Abstract We construct a finitely generated group which is an extension of two finitely generated groups coarsely embeddable into Hilbert space but which itself does not coarsely embed into Hilbert space. Our construction also provides a new infinite monster group: the first example of a finitely generated group that does not coarsely embed into Hilbert space and yet does not contain a weakly embedded expander.

Dates et versions

hal-04315779 , version 1 (30-11-2023)

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Goulnara Arzhantseva, Romain Tessera. Admitting a Coarse Embedding is Not Preserved Under Group Extensions. International Mathematics Research Notices, 2019, 2019 (20), pp.6480-6498. ⟨10.1093/imrn/rny017⟩. ⟨hal-04315779⟩
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