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Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100198533810

ISBN-139780198533818

eBay Product ID (ePID)1197573

Product Key Features

Number of Pages536 Pages

LanguageEnglish

Publication NameBrauer Trees of Sporadic Groups

Publication Year1989

SubjectGroup Theory

TypeTextbook

Subject AreaMathematics

AuthorK. Lux, G. Hiss

FormatHardcover

Dimensions

Item Height1.4 in

Item Weight36.7 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceCollege Audience

LCCN89-016244

Reviews"A significant contribution to the representation theory of these groups. . . .Clearly written and well organized." -- Mathematical Reviews, '... a valuable, and indeed unique addition to the literature and will be a standard reference.... This book will be an essential part of every mathematical Library.'Walter Feit, AMS Bulletin'an extremely useful addition to the literature in group representation theory'G. Michler, Zbl. Math. 685, 'an extremely useful addition to the literature in group representation theory'G. Michler, Zbl. Math. 685, '... a valuable, and indeed unique addition to the literature and will be a standard reference.... This book will be an essential part of every mathematical Library.'Walter Feit, AMS Bulletin, "A significant contribution to the representation theory of these groups. . . .Clearly written and well organized." --Mathematical Reviews

Dewey Edition20

IllustratedYes

Dewey Decimal512/.2

Table Of ContentNotation; Introduction; The Brauer tree of a block with cyclic defect; Elementary methods for determining Brauer trees; Nonelementary methods for determining Brauer trees; How to read the tables; The trees; Appendix; Bibliography; Index

SynopsisThis unique volume collects together the Brauer trees of the sporadic simple groups and their covering groups, as far as they are known. It will be an invaluable reference work for all research workers whose work involves the study of finite simple groups., The study of finite simple groups has seen considerable progress since their classification and much more is now known about the internal structure of the sporadic groups. Brauer trees present a means of computing certain important properties of these groups and their calculation typically relies upon large-scale computations. This volume collects together for the first time the Brauer trees of the sporadic simple groups and their covering groups, as far as they are known. The authors first describe the construction of Brauer trees and the principal methods for their computation. The rest of the book is then devoted to the description of the trees and the associated block information and projective tables. Consequently, this volume should serve as an invaluable reference work for all research workers whose work involves the study of finite simple groups.

LC Classification NumberQA171.H665 1989