Character Theory and the Mckay Conjecture

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

List of contents

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.

About the author

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.

Summary

A new era in the representation theory of finite groups began with the McKay conjecture. This book presents the conjecture in a clear and accessible way, with only minimal pre-requisites. Many fascinating aspects of character theory are explored along the way, with some new and elegant proofs.

Product details

• Authors: Gabriel Navarro, Gabriel (Universitat De Valencia Navarro, Navarro Gabriel
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.04.2018
• EAN: 9781108428446
• ISBN: 978-1-108-42844-6
• No. of pages: 250
• Series: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General