Frobenius 1896 first character-theory of finite groups. Character χ_V(g) = tr ρ(g). Orthogonality relations → number of irreducibles = number of conjugacy classes. Burnside p^a q^b solvability theorem.
Frobenius 1896 first character-theory of finite groups. Character χ_V(g) = tr ρ(g). Orthogonality relations → number of irreducibles = number of conjugacy classes. Burnside p^a q^b solvability theorem.