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Permutation Group Algorithms

Name: Permutation Group Algorithms
Brand: Cambridge University Press
SKU: 02090235
Price: 159.41 EUR
Availability: InStock
Author: Ákos Seress
ISBN: 9780521661034

Ákos Seress

Language

English

Book Hardback

Libristo code: 02090235

Publishers Cambridge University Press, March 2003

Permutation group algorithms are one of the workhorses of symbolic algebra systems computing with gr... Full description

Libristo code: 02090235

385 b

159.41 €

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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.