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) ...
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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.
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Add this copy of Generators and Relations for Discrete Groups to cart. $43.27, good condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1957 by Springer-Verlag.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Re-bound by library. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 500grams, ISBN:
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Volume 14. This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 500grams, ISBN: 3540092129.
Add this copy of Generators and Relations for Discrete Groups to cart. $49.13, good condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1980 by Springer-Verlag.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 500grams, ISBN: 0387092129.
Add this copy of Generators and Relations for Discrete Groups: Third to cart. $50.00, good condition, Sold by Tiber Books rated 4.0 out of 5 stars, ships from Cockeysville, MD, UNITED STATES, published 1972 by Springer, NY.
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8vo, hardcover. No dj, yellow cloth. Good condition. Ex-library copy. Exterior labels removed, stamping to endpapers and textblock edges. Contents clean, no marking or writing. Binding sturdy and tight. 161 pp.
Add this copy of Generators and Relations for Discrete Groups to cart. $68.00, very good condition, Sold by Common Crow Books rated 5.0 out of 5 stars, ships from Pittsburgh, PA, UNITED STATES, published 1972 by Springer.
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Near Fine. Third edition, 1972, hardcover with golden cloth boards, octavo, 161pp., not illustrated. Book near fine with hint of shelfwear, sticker ghost to rear board, binding tight, text clean and unmarked. No DJ.
Add this copy of Generators and Relations for Discrete Groups to cart. $85.18, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1957 by Springer.
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Add this copy of Generators and Relations for Discrete Groups to cart. $190.04, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1986 by Springer Verlag.
