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Character theory and the McKay conje...

Navarro, G.

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Character theory and the McKay conjecture

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Character theory and the McKay conjecture/ Gabriel Navarro.
作者:	Navarro, G.
出版者:	Cambridge :Cambridge University Press, : 2018.,
面頁冊數:	xviii, 234 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 16 May 2018).
標題:	Finite groups. -
電子資源:	https://doi.org/10.1017/9781108552790
ISBN:	9781108552790

Character theory and the McKay conjecture
Navarro, G.

Character theory and the McKay conjecture[electronic resource] /Gabriel Navarro. - Cambridge :Cambridge University Press,2018. - xviii, 234 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;175. - Cambridge studies in advanced mathematics ;175..

Title from publisher's bibliographic system (viewed on 16 May 2018).

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.

ISBN: 9781108552790Subjects--Topical Terms:

532025
Finite groups.

LC Class. No.: QA177 / .N38 2018

Dewey Class. No.: 512.23

Character theory and the McKay conjecture
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520 $a 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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