On Some Subgroup Chains Related to Kneser's Theorem
| hal.structure.identifier | Equipe combinatoire et optimisation [C&O] | |
| dc.contributor.author | HAMIDOUNE, Yahya Ould | |
| hal.structure.identifier | Research Group on Graph Theory and Combinatorics [Barcelona] | |
| dc.contributor.author | SERRA, Oriol | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ZEMOR, Gilles | |
| dc.date.accessioned | 2024-04-04T03:05:43Z | |
| dc.date.available | 2024-04-04T03:05:43Z | |
| dc.date.created | 2007-04-03 | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 2118-8572 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193272 | |
| dc.description.abstractEn | A 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.language.iso | en | |
| dc.publisher | Société Arithmétique de Bordeaux | |
| dc.title.en | On Some Subgroup Chains Related to Kneser's Theorem | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0704.0382 | |
| bordeaux.journal | Journal de Théorie des Nombres de Bordeaux | |
| bordeaux.page | 125--130 | |
| bordeaux.volume | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00181472 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00181472v1 | |
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