10 citations · 45 across the 10 of their papers we have counts for
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math.GR2006★ 6 cited
Compression functions of uniform embeddings of groups into Hilbert and Banach spaces
Goulnara Arzhantseva, Cornelia Druţu, Mark Sapir
We construct finitely generated groups with arbitrary prescribed Hilbert space compression αfrom the interval [0,1]. For a large class of Banach spaces E (including all uniformly c…
math.GR2006★ 6 cited
Relatively hyperbolic groups: geometry and quasi-isometric invariance
Cornelia Drutu
In this paper it is proved that relative hyperbolicity is an invariant of quasi-isometry. As a byproduct of the arguments, simplified definitions of relative hyperbolicity are obta…
math.GR2006★ 2 cited
Groups acting on tree-graded spaces and splittings of relatively hyperbolic group
Cornelia Drutu, Mark Sapir
Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when the cones have cut points). Since many questions about endomorphisms and automorp…