Algebra and Logic

, Volume 46, Issue 1, pp 1–15 | Cite as

Irreducible characters with equal roots in the groups S n and A n

  • V. A. Belonogov
Article

Abstract

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 χα and χβ (α and β are respective partitions of a number n) possesses the following property: lengths d(α) and d(β) of principal diagonals of Young diagrams for α and β differ by at most 1.

Keywords

group irreducible character Young diagram 

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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • V. A. Belonogov
    • 1
  1. 1.Institute of Mathematics and Mechanics, Ural BranchRussian Academy of SciencesEkaterinburgRussia

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