Permutational symmetry of Clebsch-Gordan coefficients for the metacyclic groups (Q800479)

This paper includes a discussion of the irreducible representations of the K-metacyclic groups. These groups are extensions of the cyclic group \(C_{p-1}\) by \(C_ p\), p a prime, and are the simplest non-simple-phase groups. Matrices for their irreducible representations are exhibited, and analytic expressions for Clebsch-Gordan coefficients are derived. The permutation properties of these symbols are completely analysed.