Permutation Group Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 9780521661034
Total Pages : 292 pages
Book Rating : 4.3X/5 ( 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

Permutation Group Algorithms

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Publisher :
ISBN 13 : 9780511066474
Total Pages : 0 pages
Book Rating : 4.73/5 ( 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 . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Symmetric Group

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Publisher : Springer Science & Business Media
ISBN 13 : 1475768044
Total Pages : 254 pages
Book Rating : 4.46/5 ( 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

Fundamental Algorithms for Permutation Groups

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Publisher :
ISBN 13 : 9783662162156
Total Pages : 256 pages
Book Rating : 4.56/5 ( 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 . This book was released on 2014-01-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Algorithms for Permutation Groups

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Publisher : Springer
ISBN 13 : 9783540549550
Total Pages : 244 pages
Book Rating : 4.52/5 ( 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 : 4.74/5 ( 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:

Handbook of Computational Group Theory

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Publisher : CRC Press
ISBN 13 : 1420035215
Total Pages : 532 pages
Book Rating : 4.16/5 ( 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 : 1000141373
Total Pages : 346 pages
Book Rating : 4.75/5 ( 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 2020-09-24 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.

Interactions between Group Theory, Symmetry and Cryptology

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Publisher : MDPI
ISBN 13 : 3039288024
Total Pages : 164 pages
Book Rating : 4.21/5 ( download)

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Book Synopsis Interactions between Group Theory, Symmetry and Cryptology by : María Isabel González Vasco

Download or read book Interactions between Group Theory, Symmetry and Cryptology written by María Isabel González Vasco and published by MDPI. This book was released on 2020-04-22 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.

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 : 4.28/5 ( 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.