Power degree group for a prime power

Definition

Suppose $p$ is a prime number and $G$ is a finite p-group, i.e., the order of $G$ is a power of $p$. Suppose $q$ is a power of the prime $p$. We say that $G$ is a $q$-power degree group if all the degrees of irreducible representations of $G$ over a splitting field are powers of $q$.

References

• Characters of Groups Associated with Finite Algebras by I. Martin Isaacs, Journal of Algebra, ISSN 00218693, Volume 177,Number 3, Page 708 - 730(November 1995): ^{Official pageMore info}