Permutation Group Algorithms


Permutation Group Algorithms
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Permutation Group Algorithms


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



Fundamental Algorithms For Permutation Groups


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.



Permutation Group Algorithms


Permutation Group Algorithms
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Author : M. C. Henderson
language : en
Publisher: University of Toronto, Department of Computer Science
Release Date : 1987

Permutation Group Algorithms written by M. C. Henderson and has been published by University of Toronto, Department of Computer Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Algorithms categories.




Black Box Classical Groups


Black Box Classical Groups
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Author : William M. Kantor
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Black Box Classical Groups written by William M. Kantor 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 2001 with Mathematics categories.


If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background. This algorithm has applications to matrix group questions and to nearly linear time algorithms for permutation groups. In particular, we upgrade all known nearly linear time Monte Carlo permutation group algorithms to nearly linear Las Vegas algorithms when the input group has no composition factor isomorphic to an exceptional group of Lie type or a 3-dimensional unitary group.



The Symmetric Group


The Symmetric Group
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Author : Bruce Sagan
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-04-20

The Symmetric Group written by Bruce Sagan 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 2001-04-20 with Mathematics categories.


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



An Inductive Schema For Computing Conjugacy Classes In Permutation Groups


An Inductive Schema For Computing Conjugacy Classes In Permutation Groups
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Author : Gregory Butler
language : en
Publisher:
Release Date : 1990

An Inductive Schema For Computing Conjugacy Classes In Permutation Groups written by Gregory Butler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computer algorithms categories.




Groups And Computation Iii


Groups And Computation Iii
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Author : William M. Kantor
language : en
Publisher: Walter de Gruyter
Release Date : 2014-01-02

Groups And Computation Iii written by William M. Kantor and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-02 with Mathematics categories.


This volume contains contributions by the participants of the conference "Groups and Computation", which took place at The Ohio State University in Columbus, Ohio, in June 1999. This conference was the successor of two workshops on "Groups and Computation" held at DIMACS in 1991 and 1995. There are papers on permutation group algorithms, finitely presented groups, polycyclic groups, and parallel computation, providing a representative sample of the breadth of Computational Group Theory. On the other hand, more than one third of the papers deal with computations in matrix groups, giving an in-depth treatment of the currently most active area of the field. The points of view of the papers range from explicit computations to group-theoretic algorithms to group-theoretic theorems needed for algorithm development.



Handbook Of Computational Group Theory


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


Combinatorial Algorithms
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Author : Donald L. Kreher
language : en
Publisher: CRC Press
Release Date : 2020-09-23

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 2020-09-23 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.



The Primitive Soluble Permutation Groups Of Degree Less Than 256


The Primitive Soluble Permutation Groups Of Degree Less Than 256
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Author : Mark W. Short
language : en
Publisher: Springer
Release Date : 2006-11-15

The Primitive Soluble Permutation Groups Of Degree Less Than 256 written by Mark W. Short and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.


This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups.