On Some Subgroup Chains Related to Kneser's Theorem

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dc.creatorHamidoune, Yahya Ould
dc.creatorSerra, Oriol
dc.creatorZemor, Gilles
dc.date2007-04-03
dc.date.accessioned2026-07-07T10:11:06Z
dc.date.available2026-07-07T10:11:06Z
dc.descriptionA recent result of Balandraud shows that for every subset S of an abelian group G, there exists a non trivial subgroup H such that |TS| <= |T|+|S|-2 holds only if the stabilizer of TS contains H. Notice that Kneser's Theorem says only that the stabilizer of TS must be a non-zero subgroup. This strong form of Kneser's theorem follows from some nice properties of a certain poset investigated by Balandraud. We consider an analogous poset for nonabelian groups and, by using classical tools from Additive Number Theory, extend some of the above results. In particular we obtain short proofs of Balandraud's results in the abelian case.
dc.identifierhttps://arxiv.org/abs/0704.0382
dc.identifierhttp://arxiv.org/abs/0704.0382
dc.identifierJ. de Theorie des Nombres de Bordeaux, 20 (2008) 125--130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171760
dc.subjectNumber Theory
dc.subject11P70
dc.titleOn Some Subgroup Chains Related to Kneser's Theorem
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