On uniform exponential growth for solvable groups

Details On uniform exponential growth for solvable groups On uniform exponential growth for solvable groups

2006-02-04

arxiv.org/abs/math/0602076v2

Mathematics

Group Theory

minor changes: the connection with the Lehmer conjecture is explicited

Scientific paper

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.

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