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The theory of fusion systems : = an ...

Craven, David A.

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The theory of fusion systems : = an algebraic approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The theory of fusion systems :/ David A. Craven.
Reminder of title:	an algebraic approach /
Author:	Craven, David A.
Published:	Cambridge :Cambridge University Press, : 2011.,
Description:	xii, 371 p. :ill. ;24 cm.
[NT 15003449]:	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.
Subject:	Representations of algebras. -
Online resource:	http://assets.cambridge.org/97811070/05969/cover/9781107005969.jpg
ISBN:	9781107005969 (hbk. ) :

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

The theory of fusion systems :an algebraic approach /David A. Craven. - Cambridge :Cambridge University Press,2011. - xii, 371 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;131. - Cambridge studies in advanced mathematics ;117..

Includes bibliographical references (p. [358]-363) and indexes.

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: 9781107005969 (hbk. ) :US72.00

LCCN: 2011006354Subjects--Topical Terms:

572480
Representations of algebras.

LC Class. No.: QA177 / .C73 2011

Dewey Class. No.: 512/.23

The theory of fusion systems : = an algebraic approach /
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020 $a 9781107005969 (hbk. ) : $c US72.00
035 $a AS-BW-100-N-04
040 $a DLC $c DLC $d DLC
042 $a pcc
050 0 0 $a QA177 $b .C73 2011
082 0 0 $a 512/.23 $2 22
084 $a MAT002000 $2 bisacsh
100 1 $a Craven, David A. $3 1324992
245 1 0 $a The theory of fusion systems : $b an algebraic approach / $c David A. Craven.
260 # $a Cambridge : $b Cambridge University Press, $c 2011.
300 $a xii, 371 p. : $b ill. ; $c 24 cm.
490 1 0 $a Cambridge studies in advanced mathematics ; $v 131
504 $a Includes bibliographical references (p. [358]-363) and indexes.
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"-- $c Provided by publisher.
650 # 0 $a Representations of algebras. $3 572480
650 # 0 $a Algebraic topology. $3 532744
650 # 0 $a Finite groups. $3 532025
830 0 $a Cambridge studies in advanced mathematics ; $v 117. $3 1232927
856 4 2 $3 Cover image $u http://assets.cambridge.org/97811070/05969/cover/9781107005969.jpg