Constructions related to the Rédei property of groups

• Autores: Sándor Szabó
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 3, 2006, págs. 701-715
• Idioma: inglés
• DOI: 10.1112/s0024610706022861
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• Resumen

  • We say that a finite abelian group does not have the Rédei property if it can be expressed as a direct product of two of its subsets such that both subsets contain the identity element and both subsets span the whole group. It will be shown that only a small fraction of the finite abelian groups can have the Rédei property. For groups of odd order an explicit list of the possible exceptions is compiled.