Synopsis
Permutation group algorithms are indispensable in the proofs of many deep results, including the construction and study of sporadic finite simple groups. This work describes the theory behind permutation group algorithms, up to the most recent developments based on the classification of finite simple groups. Rigorous complexity estimates, implementation hints, and advanced exercises are included throughout. The central theme is the description of nearly linear time algorithms, which are extremely fast both in terms of asymptotic analysis and of practical running time. The book fills a significant gap in the symbolic computation literature for readers interested in using computers in group theory.
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Book Description
Permutation group algorithms played an indispensable role in the proof of many deep results, including the construction and study of sporadic finite simple groups. This book describes the theory behind permutation group algorithms, up to the most recent developments. Rigorous complexity estimates, implementation hints, and advanced exercises are included throughout. The book fills a significant gap in the symbolic computation literature. It is recommended for everyone interested in using computers in group theory, and is suitable for advanced graduate courses.
Review
"This book provides a virtually complete state-of-the-art account of algorithms for computing with finite permutation groups. Almost all of the algorithms described are accompanied by complete and detailed correctness proofs and complexity analyses. It is very clearly written throughout, and is likely to become the standard and definitive reference work in the field." Mathematical Reviews
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Permutation group algorithms Ákos Seress. Cambridge tracts in mathematics 152.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 SER 9780521661034 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2506882
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Permutation group algorithms Ákos Seress. Cambridge tracts in mathematics 152.
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Cambridge, Cambridge University Press, 2003
ISBN 10: 052166103X
ISBN 13: 9780521661034
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 SER 9780521661034 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2498843
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Permutation group algorithms.
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23 cm. original cloth. 264 pp. bibliography. index. "Cambridge Tracts in Mathematics". -(libr label, library stamps, otherwise (very) good). 525g. Seller Inventory # 72851
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Permutation Group Algorithms
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Permutation Group Algorithms (Cambridge Tracts in Mathematics, Series Number 152)
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Hardcover. Condition: new. Hardcover. Permutation group algorithms are one of the workhorses of symbolic algebra systems computing with groups. They played an indispensable role in the proof of many deep results, including the construction and study of sporadic finite simple groups. This book describes the theory behind permutation group algorithms, up to the most recent developments based on the classification of finite simple groups. Rigorous complexity estimates, implementation hints, and advanced exercises are included throughout. The central theme is the description of nearly linear time algorithms, which are extremely fast both in terms of asymptotic analysis and of practical running time. A significant part of the permutation group library of the computational group algebra system GAP is based on nearly linear time algorithms. The book fills a significant gap in the symbolic computation literature. It is recommended for everyone interested in using computers in group theory, and is suitable for advanced graduate courses. Permutation group algorithms were instrumental in the proof of many deep results. This book describes the theory, and includes hints for implementation and advanced exercises. It is recommended for everyone interested in using computers in group theory, and is suitable for advanced graduate courses. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521661034
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Permutation Group Algorithms
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