Mathematics – Group Theory
Scientific paper
2007-04-25
Mathematics
Group Theory
3 pages
Scientific paper
By using the links between generalized roundness, negative type inequalities
and equivariant Hilbert space compressions, we obtain that the generalized
roundness of the usual Cayley graph of finitely generated free groups and free
abelian groups of rank $\geq 2$ equals 1. This answers a question of J-F.
Lafont and S. Prassidis.
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