Generators and Relations for Discrete Groups
Language: English
Published by Springer Berlin Heidelberg Jan 1957, 1957
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 74.49
Quantity: 2 available
Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -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 e ), the reader cannot do better than consult the 8 tables of JosEPHINE BuRNS (1915), while keeping an eye open for misprints. Our own tables (on pages 134-143) deal with groups of low order, finiteandinfinite 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 foramoreextensive 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. There is also a topological method (Chapter 3), suitable not only for groups of low order but also for some infinite groups. This involves choosing a set of generators, constructing a certain graph (the Cayley diagram or DEHNsehe Gruppenbild), and embedding the graph into a surface. Cases in which the surface is a sphere or a plane are described in Chapter 4, where we obtain algebraically, and verify topologically, an abstract definition for each of the 17 space groups of two-dimensional crystallography. 164 pp. Englisch.…
Seller Inventory # 9783662236543
- Title
- Generators and Relations for Discrete Groups
- Author
- William O. J. Moser
- Publisher
- Springer Berlin Heidelberg Jan 1957
- Publication year
- 1957
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3662236540
- ISBN 13
- 9783662236543
- Item weight
- 260 grams
- Dimensions
- 235x155x10 mm
"Synopsis" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
Shipping rates from Germany to U.S.A.
| Item | 5 to 15 business days | 5 to 15 business days |
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BuchWeltWeit Ludwig Meier e.K.
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