Permutation Group Algorithms PDF Download
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Author | : Ákos Seress |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 2003-03-17 |
Genre | : Mathematics |
ISBN | : 9780521661034 |
Download Permutation Group Algorithms Book in PDF, ePub and Kindle
Table of contents
Author | : Gregory Butler |
Publisher | : Springer |
Total Pages | : 244 |
Release | : 1991-11-27 |
Genre | : Computers |
ISBN | : 9783540549550 |
Download Fundamental Algorithms for Permutation Groups Book in PDF, ePub and Kindle
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.
Author | : University of Toronto. Department of Computer Science |
Publisher | : |
Total Pages | : |
Release | : 1987 |
Genre | : Algorithms |
ISBN | : |
Download Permutation Group Algorithms Book in PDF, ePub and Kindle
Author | : M. C. Henderson |
Publisher | : University of Toronto, Department of Computer Science |
Total Pages | : 55 |
Release | : 1987 |
Genre | : Algorithms |
ISBN | : |
Download Permutation Group Algorithms Book in PDF, ePub and Kindle
Author | : Derek F. Holt |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2005-01-13 |
Genre | : Mathematics |
ISBN | : 1420035215 |
Download Handbook of Computational Group Theory Book in PDF, ePub and Kindle
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
Author | : Donald L. Kreher |
Publisher | : CRC Press |
Total Pages | : 346 |
Release | : 1998-12-18 |
Genre | : Mathematics |
ISBN | : 9780849339882 |
Download Combinatorial Algorithms Book in PDF, ePub and Kindle
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.
Author | : Gene David Cooperman |
Publisher | : |
Total Pages | : 24 |
Release | : 1990* |
Genre | : Algorithms |
ISBN | : |
Download A Random Base Change Algorithm for Permutation Groups Book in PDF, ePub and Kindle
Author | : Bruce E. Sagan |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475768044 |
Download The Symmetric Group Book in PDF, ePub and Kindle
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
Author | : María Isabel González Vasco |
Publisher | : MDPI |
Total Pages | : 164 |
Release | : 2020-04-22 |
Genre | : Mathematics |
ISBN | : 3039288024 |
Download Interactions between Group Theory, Symmetry and Cryptology Book in PDF, ePub and Kindle
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.
Author | : Gilbert Baumslag |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461397308 |
Download Algorithms and Classification in Combinatorial Group Theory Book in PDF, ePub and Kindle
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.