English

On uniform exponential growth for solvable groups

Group Theory 2007-05-23 v2

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.

Cite

@article{arxiv.math/0602076,
  title  = {On uniform exponential growth for solvable groups},
  author = {Emmanuel Breuillard},
  journal= {arXiv preprint arXiv:math/0602076},
  year   = {2007}
}

Comments

minor changes: the connection with the Lehmer conjecture is explicited