Navarro Character Theory and the McKay Conjecture

Erscheinungsjahr 2018
ISBN: 978-1-108-69677-7
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 175, 0 Seiten

Reihe: Cambridge Studies in Advanced Mathematics

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

Autoren/Hrsg.

Navarro, Gabriel

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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.

Über Autor(innen)

Navarro, Gabriel
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.