Character Theory and the McKay Conjecture

ISBN-13: 9781108428446 / Angielski / Twarda / 2018 / 250 str.

Gabriel Navarro

Opis

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

Recenzje

'… the author has done an excellent job in presenting a road leading from the basics to the present frontiers in representation theory.' Burkhard Külshammer, zbMATH

Spis treści

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.