Permutation Group Algorithms

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Permutation Group Algorithms
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Author : Ákos Seress
language : en
Publisher: Cambridge University Press
Release Date : 2003-03-17
Permutation Group Algorithms written by Ákos Seress and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-17 with Mathematics categories.
Table of contents
Permutation Group Algorithms
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Author : Ákos Seress
language : en
Publisher:
Release Date : 2003
Permutation Group Algorithms written by Ákos Seress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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.
Fundamental Algorithms For Permutation Groups
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Author : Gregory Butler
language : en
Publisher: Springer
Release Date : 1991-11-27
Fundamental Algorithms For Permutation Groups written by Gregory Butler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-27 with Computers categories.
This is the first-ever book on computational group theory. It provides extensive and up-to-date coverage of the fundamental algorithms for permutation groups with reference to aspects of combinatorial group theory, soluble groups, and p-groups where appropriate. The book begins with a constructive introduction to group theory and algorithms for computing with small groups, followed by a gradual discussion of the basic ideas of Sims for computing with very large permutation groups, and concludes with algorithms that use group homomorphisms, as in the computation of Sylowsubgroups. No background in group theory is assumed. The emphasis is on the details of the data structures and implementation which makes the algorithms effective when applied to realistic problems. The algorithms are developed hand-in-hand with the theoretical and practical justification.All algorithms are clearly described, examples are given, exercises reinforce understanding, and detailed bibliographical remarks explain the history and context of the work. Much of the later material on homomorphisms, Sylow subgroups, and soluble permutation groups is new.
Handbook Of Computational Group Theory
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Author : Derek F. Holt
language : en
Publisher: CRC Press
Release Date : 2005-01-13
Handbook Of Computational Group Theory written by Derek F. Holt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-13 with Mathematics categories.
The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame
Combinatorial Algorithms
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Author : Donald L. Kreher
language : en
Publisher: CRC Press
Release Date : 1998-12-18
Combinatorial Algorithms written by Donald L. Kreher and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-18 with Mathematics categories.
This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.
Groups 93 Galway St Andrews Volume 1
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Author : C. M. Campbell
language : en
Publisher: Cambridge University Press
Release Date : 1995-03-16
Groups 93 Galway St Andrews Volume 1 written by C. M. Campbell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-16 with Mathematics categories.
Representing the wealth and diversity of group theory for experienced researchers as well as new postgraduates, this two-volume book contains selected papers from the international conference which was held at University College Galway in August 1993.
The Santa Cruz Conference On Finite Groups
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Author : Bruce Cooperstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
The Santa Cruz Conference On Finite Groups written by Bruce Cooperstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Groups And Computation
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Author : Larry Finkelstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01
Groups And Computation written by Larry Finkelstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
This volume contains papers presented at the Workshop on Groups and Computation, held in October, 1991. The workshop explored interactions among four areas: symbolic algebra and computer algebra, theoretical computer science, group theory, and applications of group computation. The relationships between implementation and complexity form a recurrent theme, though the papers also discuss such topics as parallel algorithms for groups, computation in associative algebras, asymptotic behavior of permutation groups, the study of finite groups using infinite reflection groups, combinatorial searching, computing with representations, and Cayley graphs as models for interconnection networks.
Algorithms And Computation
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Author : Khaled Elbassioni
language : en
Publisher: Springer
Release Date : 2015-12-07
Algorithms And Computation written by Khaled Elbassioni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-07 with Computers categories.
This book constitutes the refereed proceedings of the 26th International Symposium on Algorithms and Computation, ISAAC 2015, held in Nagoya, Japan, in December 2015. The 65 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 180 submissions for inclusion in the book. The focus of the volume is on the following topics: computational geometry; data structures; combinatorial optimization and approximation algorithms; randomized algorithms; graph algorithms and FPT; computational complexity; graph drawing and planar graphs; online and streaming algorithms; and string and DNA algorithms.
Classification Algorithms For Codes And Designs
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Author : Petteri Kaski
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-03
Classification Algorithms For Codes And Designs written by Petteri Kaski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-03 with Mathematics categories.
A new starting-point and a new method are requisite, to insure a complete [classi?cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di?cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917) [129] The history of classifying combinatorial objects is as old as the history of the objects themselves. In the mid-19th century, Kirkman, Steiner, and others became the fathers of modern combinatorics, and their work – on various objects, including (what became later known as) Steiner triple systems – led to several classi?cation results. Almost a century earlier, in 1782, Euler [180] published some results on classifying small Latin squares, but for the ?rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ?ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi?cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial arguments are e?ective (often to prove nonexistence or uniqueness), classi?cation in general is about algorithms and computation.