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portada Permutation Group Algorithms (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2003
Language
English
Pages
274
Format
Hardcover
ISBN
052166103x
ISBN13
9780521661034
Edition No.
1
Categories

Permutation Group Algorithms (Cambridge Tracts in Mathematics)

Akos Seress; Kos Seress (Author) · Cambridge University Press · Hardcover

Permutation Group Algorithms (Cambridge Tracts in Mathematics) - Akos Seress; Kos Seress

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Synopsis "Permutation Group Algorithms (Cambridge Tracts in Mathematics) "

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, including 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.

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