Quasirandom groups

dc.creatorGowers, W. T.
dc.date2007-10-20
dc.date.accessioned2026-07-07T08:37:37Z
dc.date.available2026-07-07T08:37:37Z
dc.descriptionBabai and Sós have asked whether there exists a constant c>0 such that every finite group G has a product-free subset of size at least c|G|: that is, a subset X that does not contain three elements x, y and z with xy=z. In this paper we show that the answer is no. Moreover, we give a simple sufficient condition for a group not to have any large product-free subset.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0710.3877
dc.identifierhttp://arxiv.org/abs/0710.3877
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140459
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject05D05;20C15
dc.titleQuasirandom groups
dc.typetext

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