Mathematics and Natural Sciences
Let G be a finite p-group, where p is an odd prime number, H be a subgroup of G and θ ∈ Irr(H) be an irreducible character of H. Assume also that | G : H | = p2. Then the character θG of G induce by θ is either a multiple of an irreducible character of G, or has at least p+1/2 distinct irreducible constituents.
Glasgow Mathematical Journal
(2006). Induction of Characters and Finite p-Groups. Glasgow Mathematical Journal, 48, 491-502.
Available at: https://aquila.usm.edu/fac_pubs/2284