3 citations · 9 across the 8 of their papers we have counts for
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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/…