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The entropy of solvable groups

Published online by Cambridge University Press:  20 June 2003

D. V. OSIN
D. V. OSIN
Affiliation:
Department of Higher Algebra, MEHMAT, Moscow State University, 119899, Moscow, Russia (e-mail: denis.osin@mtu-net.ru)
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Abstract

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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.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 3 , June 2003 , pp. 907 - 918
Copyright
2003 Cambridge University Press