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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 /

Record Type:	Electronic resources : 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., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[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:	Finite groups. -
Online resource:	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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020 $a 9781107471931 $q (paperback)
035 $a CR9780511794506
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050 4 $a QA177 $b .C73 2011
082 0 4 $a 512.23 $2 22
090 $a QA177 $b .C898 2011
100 1 $a Craven, David A. $3 1324992
245 1 4 $a The theory of fusion systems $h [electronic resource] : $b an algebraic approach / $c David A. Craven.
260 $a Cambridge : $b Cambridge University Press, $c 2011.
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