A recurrence relation approach to higher order quantum superintegrability.
Let be a fixed positive integer. In this paper, we consider finite groups each of whose nonlinear character degrees has exactly prime divisors. We show that such groups are solvable whenever . Moreover, we prove that if is a non-solvable group with this property, then and is an extension of or by a solvable group.
In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.