Irreducible characters with equal roots in the groups Sn and An

• Autores: V. A. Belonogov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 46, Nº. 1, 2007, págs. 1-15
• Idioma: inglés
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• Resumen

  • We show that treating of (non-trivial) pairs of irreducible characters of the group Sn sharing the same set of roots on one of the sets An and Sn \ An is divided into three parts. This, in particular, implies that any pair of such characters ?a and ?ß (a and ß are respective partitions of a number n) possesses the following property: lengths d(a) and d(ß) of principal diagonals of Young diagrams for a and ß differ by at most 1.