Brauer Trees of Sporadic Groups

ISBN-13: 9780198533818 / Angielski / Twarda / 1989 / 544 str.

G. Hiss; K. Lux

Opis

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.

Recenzje

'an extremely useful addition to the literature in group representation theory' G. Michler, Zbl. Math. 685

Spis treści

Notation; 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