Rank gradient, cost of groups and the rank versus Heegaard genus problem

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dc.creatorAbert, Miklos
dc.creatorNikolov, Nikolay
dc.date2007-01-12
dc.date2008-05-02
dc.date.accessioned2026-07-07T09:36:28Z
dc.date.available2026-07-07T09:36:28Z
dc.descriptionWe study the growth of the rank of subgroups of finite index in residually finite groups, by relating it to the notion of cost. As a by-product, we show that the `Rank vs. Heegaard genus' conjecture on hyperbolic 3-manifolds is incompatible with the `Fixed Price problem' in topological dynamics.
dc.identifierhttps://arxiv.org/abs/math/0701361
dc.identifierhttp://arxiv.org/abs/math/0701361
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160131
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleRank gradient, cost of groups and the rank versus Heegaard genus problem
dc.typetext

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