Less than continuum many translates of a compact nullset may cover any infinite profinite group

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dc.creatorAbert, Miklos
dc.date2007-03-24
dc.date.accessioned2026-07-07T07:53:52Z
dc.date.available2026-07-07T07:53:52Z
dc.descriptionWe show that it is consistent with the axioms of set theory that every infinite profinite group G possesses a closed subset X of Haar measure zero such that less than continuum many translates of X cover G. This answers a question of Elekes and Toth and by their work settles the problem for all infinite compact topological groups.
dc.identifierhttps://arxiv.org/abs/math/0703726
dc.identifierhttp://arxiv.org/abs/math/0703726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126389
dc.subjectGroup Theory
dc.subjectLogic
dc.titleLess than continuum many translates of a compact nullset may cover any infinite profinite group
dc.typetext

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