Symmetric Generation of Groups Hardback: With Applications to many of the Sporadic Finite Simple Groups: 111 (Encyclopedia of Mathematics and its Applications, Series Number 111) - Tapa dura
Libro 100 de 188: Encyclopedia of Mathematics and its Applications
Sinopsis
This comprehensive text develops the notion of symmetric generation from scratch and goes on to describe how the technique can be used to define and construct many of the sporadic simple groups (including the Mathieu groups, the Janko groups and the Higman-Sims group) in a uniform and accessible way.
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Acerca del autor
Robert T. Curtis is Professor of Combinatorial Algebra and Head of Pure Mathematics in the School of Mathematics at the University of Birmingham. He also holds the post of Librarian for the London Mathematical Society.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Symmetric Generation of Groups With Applications to Many of the Sporadic Finite Simple Groups
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Cambridge University Press, 2007
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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and its Applications, Series Number 111)
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Cambridge University Press, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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Symmetric Generation of Groups : With Applications to Many of the Sporadic Finite Simple Groups
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Cambridge University Press, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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Symmetric Generation of Groups
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Cambridge University Press Jul 2007, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Some of the most beautiful mathematical objects found in the last forty years are the sporadic simple groups. But gaining familiarity with these groups presents problems for two reasons. Firstly, they were discovered in many different ways, so to understand their constructions in depth one needs to study lots of different techniques. Secondly, since each of them is in a sense recording some exceptional symmetry in spaces of certain dimensions, they are by their nature highly complicated objects with a rich underlying combinatorial structure. Motivated by initial results which showed that the Mathieu groups can be generated by highly symmetrical sets of elements, which themselves have a natural geometric definition, the author develops from scratch the notion of symmetric generation. He exploits this technique by using it to define and construct many of the sporadic simple groups including all the Janko groups and the Higman-Sims group. For researchers and postgraduates. 332 pp. Englisch. Nº de ref. del artículo: 9780521857215
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Symmetric Generation of Groups : With Applications to Many of the Sporadic Finite Simple Groups
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Cambridge University Press, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups (Hardcover)
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Cambridge University Press, Cambridge, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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Hardcover. Condición: new. Hardcover. Some of the most beautiful mathematical objects found in the last forty years are the sporadic simple groups. But gaining familiarity with these groups presents problems for two reasons. Firstly, they were discovered in many different ways, so to understand their constructions in depth one needs to study lots of different techniques. Secondly, since each of them is in a sense recording some exceptional symmetry in spaces of certain dimensions, they are by their nature highly complicated objects with a rich underlying combinatorial structure. Motivated by initial results which showed that the Mathieu groups can be generated by highly symmetrical sets of elements, which themselves have a natural geometric definition, the author develops from scratch the notion of symmetric generation. He exploits this technique by using it to define and construct many of the sporadic simple groups including all the Janko groups and the Higman-Sims group. For researchers and postgraduates. Some of the most beautiful mathematical objects found in the last forty years are the sporadic simple groups. However, gaining familiarity with these groups presents problems for two reasons. First, they were discovered in many different ways, so to understand their constructions in depth one needs to study lots of different techniques. Second, since each of them is in a sense recording some exceptional symmetry in spaces of certain dimensions, they are by their nature highly complicated objects with a rich underlying combinatorial structure. Motivated by initial results which showed that the Mathieu groups can be generated by highly symmetrical sets of elements, which themselves have a natural geometric definition, the author develops from scratch the notion of symmetric generation. He exploits this technique by using it to define and construct many of the sporadic simple groups including all the Janko groups and the Higman-Sims group. This volume is suitable for researchers and postgraduates. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780521857215
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Symmetric Generation of Groups : With Applications to Many of the Sporadic Finite Simple Groups
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ISBN 10: 052185721X
ISBN 13: 9780521857215
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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups
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Symmetric Generation of Groups : With Applications to Many of the Sporadic Finite Simple Groups
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Cambridge University Press, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups
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Cambridge University Press, 2007
ISBN 10: 052185721X
ISBN 13: 9780521857215
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