On uniform exponential growth for solvable groups

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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.
minor changes: the connection with the Lehmer conjecture is explicited

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/121127

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602076
 http://arxiv.org/abs/math/0602076

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arXiv