Character theory and the McKay conjecture

By:

Navarro, Gabriel

Series: Cambridge studies in advanced mathematics ; 175Publication details: Cambridge University Press, 2018. Cambridge:Description: xviii, 234 p. : ill. ; hb. ; 24 cmISBN:

9781108428446

Subject(s):

DDC classification:

512.23 NAV

Summary: 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.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.23 NAV (Browse shelf(Opens below))	1	Available		030072

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Previous	512.22 DIC Groups acting on graphs	512.23 CRA Theory of fusion systems: an algebraic approach	512.23 MUS Representations of finite groups	512.23 NAV Character theory and the McKay conjecture	512.24 EIS Commutative algebra with a view toward algebraic geometry	512.24 EIS Commutative algebra with a view toward algebraic geometry	512.24 KRI Commutative algebra	Next

Formerly CIP.
Includes bibliographical references (pages 222-230) and index.
Also issued online.

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.

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