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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups: 111 (Encyclopedia of Mathematics and its Applications, Series Number 111) - Hardcover
Synopsis
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.
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About the Author
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.
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- PublisherCambridge University Press
- Publication date2007
- ISBN 10 052185721X
- ISBN 13 9780521857215
- BindingHardcover
- LanguageEnglish
- Number of pages332
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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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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and its Applications)
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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and its Applications)
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Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups: 111 (Encyclopedia of Mathematics and its Applications, Series Number 111)
Published by
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 (Encyclopedia of Mathematics and its Applications)
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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
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Buch. Condition: 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. Seller Inventory # 9780521857215
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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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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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Hardcover. Condition: 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 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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