Ergodic Theory and Dynamical Systems



The entropy of solvable groups


D. V. OSIN a1
a1 Department of Higher Algebra, MEHMAT, Moscow State University, 119899, Moscow, Russia (e-mail: [email protected])

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Abstract

We prove that any finitely generated solvable group of zero entropy contains a nilpotent subgroup of finite index. In particular, any finitely generated solvable group of exponential growth is of uniformly exponential growth.

(Received July 24 2000)
(Revised April 27 2001)