Finitely summable -elements for word-hyperbolic groups
Jean-Marie Cabrera
Université d’Aix-Marseille, FranceMichael Puschnigg
Université d’Aix-Marseille, France
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Abstract
We present two explicit combinatorial constructions of finitely summable reduced “Gamma”-elements for any word-hyperbolic group and obtain summability bounds for them in terms of the cardinality of the generating set and the hyperbolicity constant of the associated Cayley graph.
Cite this article
Jean-Marie Cabrera, Michael Puschnigg, Finitely summable -elements for word-hyperbolic groups. J. Noncommut. Geom. 16 (2022), no. 1, pp. 353–389
DOI 10.4171/JNCG/446