All Difference Family Structures arise from Groups

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dc.creatorBoykett, Tim
dc.date2004-05-28
dc.date.accessioned2026-07-07T05:08:43Z
dc.date.available2026-07-07T05:08:43Z
dc.descriptionDifference families are traditionally built using groups as their basis. This paper looks at what sort of generalised difference family constructions could be made, using the standard basis of translation and difference. The main result is that minimal requirements on the structure force nothing that groups cannot give, at least in the finite case. Thus all difference families arise from groups.
dc.description7 Pages
dc.identifierhttps://arxiv.org/abs/math/0405567
dc.identifierhttp://arxiv.org/abs/math/0405567
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71376
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject05B05
dc.titleAll Difference Family Structures arise from Groups
dc.typetext

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