3 papers
math.GR2006
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.GR2004
Metrics on diagram groups and uniform embeddings in a Hilbert space
Goulnara Arzhantseva, Victor Guba, Mark Sapir
We give first examples of finitely generated groups having an intermediate, with values in (0,1), Hilbert space compression (which is a numerical parameter measuring the distortion…
math.GR2004
Growth rates of amenable groups
Goulnara Arzhantseva, Victor Guba, Luc Guyot
Let be a free group with generators and let be its normal subgroup such that projects onto $\zz$. We give a lower bound for the growth rate of the group $F_m/…