Sum-free set in finite abelian groups

dc.creatorBalasubramanian, R.
dc.creatorPrakash, Gyan
dc.date2005-02-17
dc.date2005-12-06
dc.date.accessioned2026-07-07T06:39:27Z
dc.date.available2026-07-07T06:39:27Z
dc.descriptionLet A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. In this paper we shall characterise the largest possible sum-free subsets of G in case the order of G is only divisible by primes which are congruent to 1 modulo 3. The result is based on a recent result of Ben Green and Imre Ruzsa.
dc.description22 pages, no figures, some corrections made, expanded exposition, a minor remars on k-l free sets added, bibliography updated
dc.identifierhttps://arxiv.org/abs/math/0502374
dc.identifierhttp://arxiv.org/abs/math/0502374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101084
dc.subjectNumber Theory
dc.subject11p70
dc.titleSum-free set in finite abelian groups
dc.typetext

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