Description: Generators and Relations for Discrete Groups Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Harold S.M. Coxeter, William O. J. Moser Format: Paperback Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K ISBN-13: 9783662219454, 978-3662219454 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 ([url] .subgroups of es), the reader cannot do better than consult the tables of JosEPHINE BuRNS [tel], while keeping an eye open for misprints. Our own tables (on pages [tel] 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.
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Book Title: Generators and Relations for Discrete Groups
Number of Pages: 172 Pages
Language: English
Publication Name: Generators and Relations for Discrete Groups
Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
Publication Year: 2017
Subject: Mathematics
Item Height: 244 mm
Item Weight: 338 g
Type: Textbook
Author: William O. J. Moser, Harold S.M. Coxeter
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge
Item Width: 170 mm
Format: Paperback