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arXiv · 0704.3371

Some remarks on generalized roundness

Ghislain Jaudon
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Abstract

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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Ghislain Jaudon. 2007-05-14. Some remarks on generalized roundness. https://arxiv.org/abs/0704.3371

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