7 citations · 26 across the 13 of their papers we have counts for
Showing 2006 · math.GRShow all
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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
Algorithmic and asymptotic properties of groups
Mark Sapir
This is a survey of the recent work in algorithmic and asymptotic properties of groups. I discuss Dehn functions of groups, complexity of the word problem, Higman embeddings, and c…
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…