Overview
- Authors:
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H. S. M. Coxeter
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Department of Mathematics, University of Toronto, Toronto, Canada
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W. O. J. Moser
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Department of Mathematics, McGill University, Montreal, Canada
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Table of contents (9 chapters)
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- H. S. M. Coxeter, W. O. J. Moser
Pages 1-12
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- H. S. M. Coxeter, W. O. J. Moser
Pages 12-18
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- H. S. M. Coxeter, W. O. J. Moser
Pages 18-32
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- H. S. M. Coxeter, W. O. J. Moser
Pages 32-52
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- H. S. M. Coxeter, W. O. J. Moser
Pages 52-61
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- H. S. M. Coxeter, W. O. J. Moser
Pages 61-82
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- H. S. M. Coxeter, W. O. J. Moser
Pages 83-101
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- H. S. M. Coxeter, W. O. J. Moser
Pages 101-117
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- H. S. M. Coxeter, W. O. J. Moser
Pages 117-133
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Back Matter
Pages 134-172
About this book
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.
Authors and Affiliations
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Department of Mathematics, University of Toronto, Toronto, Canada
H. S. M. Coxeter
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Department of Mathematics, McGill University, Montreal, Canada
W. O. J. Moser