TY  - GEN
AU  - Navarro, Gabriel
TI  - Character theory and the McKay conjecture
SN  - 9781108428446
U1  - 512.23 
PY  - 2018///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Characters of groups
KW  - Finite groups
KW  - Group theory
KW  - Galois Action on Characters
KW  -  The Howlett Isaacs Theorem
N1  - Formerly CIP.
Includes bibliographical references (pages 222-230) and index.
Also issued online
N2  - The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty
ER  -