Algebraic entropy of elementary amenable groups

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We prove that any finitely generated elementary amenable group of zero (algebraic) entropy contains a nilpotent subgroup of finite index or, equivalently, any finitely generated elementary amenable group of exponential growth is of uniformly exponential growth. We also show that 0 is an accumulation point of the set of entropies of elementary amenable groups.
20 pages; to appear in Geom. Dedicata

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Group Theory, 20F65; 20F69

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http://salesiana.dossiersoluciones.com/handle/123456789/70727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404075
 http://arxiv.org/abs/math/0404075

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arXiv