Resumen de Irreducible characters of the group Sn that are semiproportional on An
Previously, we dubbed the conjecture that the alternating group An has no semiproportional irreducible characters for any natural n [1]. This conjecture was then shown to be equivalent to the following [3]. Let ? and ? be partitions of a number n such that their corresponding characters ?? and ?? in the group Sn are semiproportional on An. Then one of the partitions ? or ? is self-associated. Here, we describe all pairs (?, ?) of partitions satisfying the hypothesis and the conclusion of the latter conjecture.
