JournalsjncgVol. 20, No. 2pp. 435–465

Distortion in graphs of groups and rapid decay classification of -manifold groups

  • Indira Chatterji

    Université Côte d’Azur, Nice, France

  • François Gautero

    Université Côte d’Azur, Nice, France
Distortion in graphs of groups and rapid decay classification of $3$-manifold groups cover
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Abstract

The fundamental group of a closed irreducible -dimensional manifold has the rapid decay property if and only if it is not virtually Sol. This is proved by studying distortion of length functions in graphs of groups and the stability of the rapid decay property in polynomially distorted graph of groups.

Cite this article

Indira Chatterji, François Gautero, Distortion in graphs of groups and rapid decay classification of -manifold groups. J. Noncommut. Geom. 20 (2026), no. 2, pp. 435–465

DOI 10.4171/JNCG/589