Permutation Group Algorithms

В книге содержится описание большого числа алгоритмов для действий в группах подстановок. Доп. информация : Книга на английском языке. Сканировались развороты книги. Всего в книге 264 страницы. Скриншоты (http://fastpic.ru/view/3/2009/1023/1db75bb750db202f8d6cec8c33cc116a.jpg.html) 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 Permutation group algorithms were instrumental in the proof of many deep results. This book describes the theory, up to the most recent developments, 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