Scientific article
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English

Some remarks on generalized roundness

ContributorsJaudon, Ghislain
Published inGeometriae dedicata, vol. 135, no. 1, p. 23-27
Collection
  • Open Access - Licence nationale Springer
Publication date2008
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 ≥2 equals 1. This answers a question of J-F. Lafont and S. Prassidis.

Keywords
  • Generalized roundness
  • Negative type functions
  • Hilbert space compression
  • CAT(0) cube complexes
Citation (ISO format)
JAUDON, Ghislain. Some remarks on generalized roundness. In: Geometriae dedicata, 2008, vol. 135, n° 1, p. 23–27. doi: 10.1007/s10711-008-9259-8
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Article (Published version)
accessLevelPublic
Identifiers
Journal ISSN0046-5755
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250downloads

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