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math.GR2011★ 1 cited
Isomorphism versus commensurability for a class of finitely presented groups
Goulnara Arzhantseva, Jean-Francois Lafont, Ashot Minasyan
We construct a class of finitely presented groups where the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of fini…
math.GR2011
Coarse non-amenability and coarse embeddings
Goulnara Arzhantseva, Erik Guentner, Jan Spakula
We construct the first example of a coarsely non-amenable (= without Guoliang Yu's property A) metric space with bounded geometry which coarsely embeds into a Hilbert space.