
Generators and Relations for Discrete Groups
Springer (Publisher)
4th Edition
Published on 13. May 2017
Book
Paperback/Softback
IX, 172 pages
978-3-662-21945-4 (ISBN)
Description
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.
More details
Series
Edition
Fourth Edition 1980
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Illustrations
2 s/w Abbildungen
IX, 172 p. 2 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 11 mm
Weight
335 gr
ISBN-13
978-3-662-21945-4 (9783662219454)
DOI
10.1007/978-3-662-21943-0
Schweitzer Classification
Other editions
Additional editions
Harold S.M. Coxeter | William O. J. Moser
Generators and Relations for Discrete Groups
Book
02/1984
4th Edition
Springer
€85.59
Article exhausted; check different version
Previous edition

Harold S. M. Coxeter | W. O. J. Moser
Generators and Relations for Discrete Groups
Book
07/1972
3rd Edition
Springer
€23.51
Article exhausted; check for reprint
Content
1. Cyclic, Dicyclic and Metacyclic Groups.- 2. Systematic Enumeration of Cosets.- 3. Graphs, Maps and Cayley Diagrams.- 4. Abstract Crystallography.- 5. Hyperbolic Tessellations and Fundamental Groups.- 6. The Symmetric, Alternating, and other Special Groups.- 7. Modular and Linear Fractional Groups.- 8. Regular Maps.- 9. Groups Generated by Reflections.- Tables 1-12.- Appendix for Chapter 2.