Introduction.- Background Material.- Solvable Linear Groups and Gluck’s Permutation Lemma.- Gluck’s Conjecture.- The Huppert ρ-σ Conjecture.- Dolfi’s Theorem.- Induction and Restriction of Characters From p-Complements.- Brauer Graphs of Solvable Groups, I.- Brauer Graphs of Solvable Groups, II.- Conjugacy Classes, Codegrees, Zeros, and other Applications.