On defect groups for generalized blocks of the symmetric group

• Autores: Jean-Baptiste Gramain
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 1, 2008, págs. 155-171
• Idioma: inglés
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• Resumen

  • In a paper of 2003, Külshammer, Olsson and Robinson defined -blocks for the symmetric groups, where >1 is an arbitrary integer. In this paper, we give a definition for the defect group of the principal -block. We then check that, in the Abelian case, we have an analogue of one of Broué's conjectures.