Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups

2024/01/26 by Chatterji, Indira, Gautero, François
#20F38 #20F65 #20F67 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2401.14803

Abstract

The fundamental group of a closed irreducible 3-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 graphs of groups.

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