Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.

Gabriel Navarro is Professor in the Department of Mathematics at the University of Valencia. He has published over 160 papers, and the widely-cited volume Characters and Blocks of Finite Groups (Cambridge, 1998). He is a leading researcher in character theory and the McKay conjecture.

Preface; Notation; 1. The basics; 2. Action on characters by automorphisms; 3. Galois action on characters; 4. Character values and identities; 5. Characters over a normal subgroup; 6. Extension of characters; 7. Degrees of characters; 8. The Howlett-Isaacs theorem; 9. Global-local counting conjectures; 10. A reduction theorem for the McKay conjecture; Appendix; Bibliographic notes; References; Index.