Resumen de Irreducible characters with equal roots in the groups Sn and An
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.
