School of Mathematics & Physics, University of Lincoln
Abstract: Let be a prime number and any natural number. Let be an ordinary irreducible character of the symmetric group whose degree is coprime to . We study the number of -irreducible constituents of the restriction and induction to and , respectively. This generalizes the work of Ayyer, Prasad, and Spallone for the prime . This is joint work with E. Giannelli and S. Martin.