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Generators and Relations for Discrete Groups: 14 (Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge) - Softcover
Inhaltsangabe
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.
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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 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.
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Generators and Relations for Discrete Groups. .
Verlag:
Berlin, Heidelberg; s.l., Springer Berlin Heidelberg, 1965
ISBN 10: 3540058370
ISBN 13: 9783540058373
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Anbieter: Antiquariat Maiwald, Langen, HES, Deutschland
Verkäuferbewertung 5 von 5 Sternen
gebundene Ausgabe. Zustand: Befriedigend. 161 Seiten, Besitzvermerk auf dem Vorsatz, ca 30 mit farbigen Markierungen und Anmerkungen, Einband mit Lagerspuren und Fleck am vorderen Deckel, NW-2206 9783540058373 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 74207
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