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The theory of fusion systems = an al...

Craven, David A.

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The theory of fusion systems = an algebraic approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The theory of fusion systems/ David A. Craven.
其他題名:	an algebraic approach /
作者:	Craven, David A.
出版者:	Cambridge :Cambridge University Press, : 2011.,
面頁冊數:	xii, 371 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Machine generated contents note: Preface; Part I. Motivation: 1. Fusion in finite groups; 2. Fusion in representation theory; 3. Fusion in topology; Part II. The Theory: 4. Fusion systems; 5. Weakly normal subsystems, quotients, and morphisms; 6. Proving saturation; 7. Control in fusion systems; 8. Local theory of fusion systems; 9. Exotic fusion systems; References; Index of notation; Index.
標題:	Finite groups. -
電子資源:	https://doi.org/10.1017/CBO9780511794506
ISBN:	9780511794506

The theory of fusion systems = an algebraic approach /
Craven, David A.

The theory of fusion systemsan algebraic approach /[electronic resource] :David A. Craven. - Cambridge :Cambridge University Press,2011. - xii, 371 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;131. - Cambridge studies in advanced mathematics ;131..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Machine generated contents note: Preface; Part I. Motivation: 1. Fusion in finite groups; 2. Fusion in representation theory; 3. Fusion in topology; Part II. The Theory: 4. Fusion systems; 5. Weakly normal subsystems, quotients, and morphisms; 6. Proving saturation; 7. Control in fusion systems; 8. Local theory of fusion systems; 9. Exotic fusion systems; References; Index of notation; Index.

Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field, taking the reader from the basics of the theory right to the state of the art. Three motivational chapters, indicating the interaction of fusion and fusion systems in group theory, representation theory and topology are followed by six chapters that explore the theory of fusion systems themselves. Starting with the basic definitions, the topics covered include: weakly normal and normal subsystems; morphisms and quotients; saturation theorems; results about control of fusion; and the local theory of fusion systems. At the end there is also a discussion of exotic fusion systems. Designed for use as a text and reference work, this book is suitable for graduate students and experts alike.

ISBN: 9780511794506Subjects--Topical Terms:

532025
Finite groups.

LC Class. No.: QA177 / .C73 2011

Dewey Class. No.: 512.23

The theory of fusion systems = an algebraic approach /
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300 $a xii, 371 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 131
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 8 $a Machine generated contents note: Preface; Part I. Motivation: 1. Fusion in finite groups; 2. Fusion in representation theory; 3. Fusion in topology; Part II. The Theory: 4. Fusion systems; 5. Weakly normal subsystems, quotients, and morphisms; 6. Proving saturation; 7. Control in fusion systems; 8. Local theory of fusion systems; 9. Exotic fusion systems; References; Index of notation; Index.
520 $a Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field, taking the reader from the basics of the theory right to the state of the art. Three motivational chapters, indicating the interaction of fusion and fusion systems in group theory, representation theory and topology are followed by six chapters that explore the theory of fusion systems themselves. Starting with the basic definitions, the topics covered include: weakly normal and normal subsystems; morphisms and quotients; saturation theorems; results about control of fusion; and the local theory of fusion systems. At the end there is also a discussion of exotic fusion systems. Designed for use as a text and reference work, this book is suitable for graduate students and experts alike.
650 0 $a Finite groups. $3 532025
650 0 $a Representations of algebras. $3 572480
650 0 $a Algebraic topology. $3 532744
830 0 $a Cambridge studies in advanced mathematics ; $v 131. $3 3470623
856 4 0 $u https://doi.org/10.1017/CBO9780511794506