Algebraic entropy of elementary amenable groups

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dc.creatorOsin, D. V.
dc.date2004-04-05
dc.date.accessioned2026-07-07T05:07:06Z
dc.date.available2026-07-07T05:07:06Z
dc.descriptionWe 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.
dc.description20 pages; to appear in Geom. Dedicata
dc.identifierhttps://arxiv.org/abs/math/0404075
dc.identifierhttp://arxiv.org/abs/math/0404075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70727
dc.subjectGroup Theory
dc.subject20F65; 20F69
dc.titleAlgebraic entropy of elementary amenable groups
dc.typetext

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