
Generators and Relations for Discrete Groups
Springer (Publisher)
3rd Edition
Published on 24. July 1972
Book
Paperback/Softback
173 pages
978-3-540-05837-3 (ISBN)
Article exhausted; check for reprint
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 restrietions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i.e., .subgroups of 2: ), the reader cannot do better than consult the 8 tables of ]OSEPHINE 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 ()f congruent transformations, symmetrie 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
3rd Revised edition
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
74 black & white illustrations, biography
Dimensions
Height: 235 mm
Width: 155 mm
Weight
400 gr
ISBN-13
978-3-540-05837-3 (9783540058373)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
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Harold S.M. Coxeter | William O. J. Moser
Generators and Relations for Discrete Groups
Book
05/2017
4th Edition
Springer
€106.99
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Harold S.M. Coxeter | William O. J. Moser
Generators and Relations for Discrete Groups
Book
02/1984
4th Edition
Springer
€85.59
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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.