Irreducible p -Brauer characters of p -power degree for the symmetric and alternating groups

• Autores: Christine Bessenrodt
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 89, Nº. 1, 2007, págs. 1-9
• Idioma: inglés
• DOI: 10.1007/s00013-006-2088-9
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• Resumen

  • Starting from the question when all irreducible p-Brauer characters for a symmetric or an alternating group are of p-power degree, we classify the p-modular irreducible representations of p-power dimension in some families of representations for these groups. In particular, this then allows to confirm a conjecture by W. Willems for the alternating groups.