Generators and Relations for Discrete Groups (Reprint of 4th Edn) (A Series of Modern Surveys in Mathematics) (Volume 14)

Coxeter, HSM

ISBN 10: 3540092129 / ISBN 13: 9783540092124

Published by Springer, 1980

About this Item

Volume 14. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:3540092129.

Seller Inventory # 4314089

Bibliographic Details

• Title: Generators and Relations for Discrete Groups (Reprint of 4th Edn) (A Series of Modern Surveys in Mathematics) (Volume 14)
• Publisher: Springer
• Publication Date: 1980
• Language: English
• ISBN 10: 3540092129
• ISBN 13: 9783540092124
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Fair
• Weight: 500 grams
• Seller catalogs:
  • Mathematics

About this title

Synopsis

When we began to consider the scope of this book, we envisaged a catalogue supplying at least one abstract definition for any finitely­ generated group that the reader might propose. But we soon realized that more or less arbitrary restrictions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i.e.' .subgroups of es), the reader cannot do better than consult the tables of JosEPHINE BuRNS (1915), while keeping an eye open for misprints. Our own tables (on pages 134-142) deal with groups of low order, finite and infinite groups of congruent transformations, symmetric and alternating groups, linear fractional groups, and groups generated by reflections in real Euclidean space of any number of dimensions. The best substitute for a more extensive catalogue is the description (in Chapter 2) of a method whereby the reader can easily work out his own abstract definition for almost any given finite group. This method is sufficiently mechanical for the use of an electronic computer.