Relative commutator theory in varieties of O-groups

• Autores: Tomas Everaert
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 210, Nº 1, 2007, págs. 1-10
• Idioma: inglés
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• Resumen

  • We introduce a new notion of commutator which depends on a choice of subvariety in any variety of O-groups. We prove that this notion encompasses Higgins¿s commutator, Fröhlich¿s central extensions and the Peiffer commutator of precrossed modules