Permutation Group Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 9780521661034
Total Pages : 292 pages
Book Rating : 4.6/5 (61 download)

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Book Synopsis Permutation Group Algorithms by : Ákos Seress

Download or read book Permutation Group Algorithms written by Ákos Seress and published by Cambridge University Press. This book was released on 2003-03-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Fundamental Algorithms for Permutation Groups

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Publisher : Springer
ISBN 13 : 9783540549550
Total Pages : 244 pages
Book Rating : 4.5/5 (495 download)

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Book Synopsis Fundamental Algorithms for Permutation Groups by : Gregory Butler

Download or read book Fundamental Algorithms for Permutation Groups written by Gregory Butler and published by Springer. This book was released on 1991-11-27 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Permutation Group Algorithms

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Publisher : University of Toronto, Department of Computer Science
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (198 download)

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Book Synopsis Permutation Group Algorithms by : M. C. Henderson

Download or read book Permutation Group Algorithms written by M. C. Henderson and published by University of Toronto, Department of Computer Science. This book was released on 1987 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Permutation Group Algorithms

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Permutation Group Algorithms by : University of Toronto. Department of Computer Science

Download or read book Permutation Group Algorithms written by University of Toronto. Department of Computer Science and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Computational Group Theory

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Publisher : CRC Press
ISBN 13 : 1420035215
Total Pages : 532 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Computational Group Theory by : Derek F. Holt

Download or read book Handbook of Computational Group Theory written by Derek F. Holt and published by CRC Press. This book was released on 2005-01-13 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : CRC Press
ISBN 13 : 9780849339882
Total Pages : 346 pages
Book Rating : 4.3/5 (398 download)

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Book Synopsis Combinatorial Algorithms by : Donald L. Kreher

Download or read book Combinatorial Algorithms written by Donald L. Kreher and published by CRC Press. This book was released on 1998-12-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorics of Permutations

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Publisher : CRC Press
ISBN 13 : 1439850526
Total Pages : 478 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Combinatorics of Permutations by : Miklos Bona

Download or read book Combinatorics of Permutations written by Miklos Bona and published by CRC Press. This book was released on 2016-04-19 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefuln

A Random Base Change Algorithm for Permutation Groups

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis A Random Base Change Algorithm for Permutation Groups by : Gene David Cooperman

Download or read book A Random Base Change Algorithm for Permutation Groups written by Gene David Cooperman and published by . This book was released on 1990* with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complexity and Randomness in Group Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667029
Total Pages : 386 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Complexity and Randomness in Group Theory by : Frédérique Bassino

Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.

The Symmetric Group

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Publisher : Springer Science & Business Media
ISBN 13 : 1475768044
Total Pages : 254 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Symmetric Group by : Bruce E. Sagan

Download or read book The Symmetric Group written by Bruce E. Sagan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

Applied Finite Group Actions

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540659419
Total Pages : 488 pages
Book Rating : 4.6/5 (594 download)

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Book Synopsis Applied Finite Group Actions by : Adalbert Kerber

Download or read book Applied Finite Group Actions written by Adalbert Kerber and published by Springer Science & Business Media. This book was released on 1999-08-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.

Permutation Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521653787
Total Pages : 236 pages
Book Rating : 4.6/5 (537 download)

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Book Synopsis Permutation Groups by : Peter J. Cameron

Download or read book Permutation Groups written by Peter J. Cameron and published by Cambridge University Press. This book was released on 1999-02-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes recent developments in the study of permutation groups for beginning graduate students.

Classification Algorithms for Codes and Designs

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Publisher : Springer Science & Business Media
ISBN 13 : 3540289917
Total Pages : 415 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Classification Algorithms for Codes and Designs by : Petteri Kaski

Download or read book Classification Algorithms for Codes and Designs written by Petteri Kaski and published by Springer Science & Business Media. This book was released on 2006-02-03 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algorithms and Classification in Combinatorial Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461397308
Total Pages : 235 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Algorithms and Classification in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Algorithms and Classification in Combinatorial Group Theory written by Gilbert Baumslag and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.

Oval Track and Other Permutation Puzzles

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Publisher : Cambridge University Press
ISBN 13 : 9780883857250
Total Pages : 328 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Oval Track and Other Permutation Puzzles by : John O. Kiltinen

Download or read book Oval Track and Other Permutation Puzzles written by John O. Kiltinen and published by Cambridge University Press. This book was released on 2003-10-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book and CD explaining how to apply group theory to solve a range of popular puzzles.

Computation with Finitely Presented Groups

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Publisher : Cambridge University Press
ISBN 13 : 0521432138
Total Pages : 624 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computation with Finitely Presented Groups by : Charles C. Sims

Download or read book Computation with Finitely Presented Groups written by Charles C. Sims and published by Cambridge University Press. This book was released on 1994-01-28 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.

Algorithms for Permutation Groups and Cayley Networks

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Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (23 download)

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Book Synopsis Algorithms for Permutation Groups and Cayley Networks by : Kenneth D. Blaha

Download or read book Algorithms for Permutation Groups and Cayley Networks written by Kenneth D. Blaha and published by . This book was released on 1989 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: