Permutation Group Algorithms
Book Details:
| Publisher: | Cambridge University Press |
| Series: | Cambridge University |
| Author: | Akos Seress |
| Edition: | 1 |
| ISBN-10: | 052166103X |
| ISBN-13: | 9780521661034 |
| Pages: | 274 |
| Published: | Mar 17 2003 |
| Posted: | Nov 19 2014 |
| Language: | English |
| Book format: | |
| Book size: | 68.11 MB |
Book Description:
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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