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Generators and Relations for Discrete Groups: 14 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) - Tapa blanda

Coxeter, Harold S.M. S.M.; Moser, William O. J.

 
9783662219454: Generators and Relations for Discrete Groups: 14 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)
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ISBN 10: 366221945X ISBN 13: 9783662219454
Editorial: Springer, 2017

Sinopsis

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.

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Reseña del editor

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.

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Editorial
Springer
Año de publicación
2017
Idioma
Inglés
ISBN 10 
366221945X
ISBN 13 
9783662219454
Encuadernación
Tapa blanda
Número de edición
4
Número de páginas
188
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Heidelberg
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Alemania

Otras ediciones populares con el mismo título

9783540092124: Generators and relations for discrete groups: 14 (Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge)

Edición Destacada

ISBN 10:  3540092129 ISBN 13:  9783540092124
Editorial: Springer Verlag, 1998
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