On Uniform Exponential Growth for Solvable Groups

Emmanuel Breuillard

Type: Article

Publication Date: 2007-01-01

Citations: 31

DOI: https://doi.org/10.4310/pamq.2007.v3.n4.a4

Abstract

Using a theorem of J. Groves we give a ping-pong proof of Osin's uniform exponential growth for solvable groups.We discuss slow exponential growth and show that this phenomenon disappears as one passes to a finite index subgroup.Finally we make a connection between slow growth and the Lehmer conjecture.

Locations

Pure and Applied Mathematics Quarterly - View - PDF
arXiv (Cornell University) - View - PDF

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