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Representation theory of finite grou...

Craven, David A.

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Representation theory of finite groups = a guidebook /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representation theory of finite groups/ by David A. Craven.
Reminder of title:	a guidebook /
Author:	Craven, David A.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 294 p. :ill., digital ;24 cm.
[NT 15003449]:	1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index.
Contained By:	Springer Nature eBook
Subject:	Finite groups. -
Online resource:	https://doi.org/10.1007/978-3-030-21792-1
ISBN:	9783030217921

Representation theory of finite groups = a guidebook /
Craven, David A.

Representation theory of finite groupsa guidebook /[electronic resource] :by David A. Craven. - Cham :Springer International Publishing :2019. - viii, 294 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index.

This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups. Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.

ISBN: 9783030217921

Standard No.: 10.1007/978-3-030-21792-1doiSubjects--Topical Terms:

532025
Finite groups.

LC Class. No.: QA177 / .C73 2019

Dewey Class. No.: 512.23

Representation theory of finite groups = a guidebook /
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100 1 $a Craven, David A. $3 1324992
245 1 0 $a Representation theory of finite groups $h [electronic resource] : $b a guidebook / $c by David A. Craven.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 294 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a 1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index.
520 $a This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups. Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.
650 0 $a Finite groups. $3 532025
650 0 $a Representations of groups. $3 519598
650 1 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Category Theory, Homological Algebra. $3 899944
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Universitext. $3 812115
856 4 0 $u https://doi.org/10.1007/978-3-030-21792-1
950 $a Mathematics and Statistics (SpringerNature-11649)