Fundamental Algorithms For Permutation Groups
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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
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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 Groups
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Author : Peter J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1999-02-04
Permutation Groups written by Peter J. Cameron 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 1999-02-04 with Mathematics categories.
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Finite Permutation Groups
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Author : Helmut Wielandt
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Finite Permutation Groups written by Helmut Wielandt and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Finite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older theorems on multiply transitive groups as well as on simply transitive groups. Organized into five chapters, this book begins with an overview of the fundamental concepts of notation and Frobenius group. This text then discusses the modifications of multiple transitivity and can be used to deduce an improved form of the classical theorem. Other chapters consider the concept of simply transitive permutation groups. This book discusses as well permutation groups in the framework of representation theory. The final chapter deals with Frobenius' theory of group characters. This book is a valuable resource for engineers, mathematicians, and research workers. Graduate students and readers who are interested in finite permutation groups will also find this book useful.
Notes On Infinite Permutation Groups
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Author : Meenaxi Bhattacharjee
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-20
Notes On Infinite Permutation Groups written by Meenaxi Bhattacharjee 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 1998-11-20 with Mathematics categories.
The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.
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.
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.
Permutation Groups
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Author : John D. Dixon
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Permutation Groups written by John D. Dixon 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 2012-12-06 with Mathematics categories.
Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Ordered Permutation Groups
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Author : Andrew Martin William Glass
language : en
Publisher: Cambridge University Press
Release Date : 1981
Ordered Permutation Groups written by Andrew Martin William Glass 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 1981 with Mathematics categories.
As a result of the work of the nineteenth-century mathematician Arthur Cayley, algebraists and geometers have extensively studied permutation of sets. In the special case that the underlying set is linearly ordered, there is a natural subgroup to study, namely the set of permutations that preserves that order. In some senses. these are universal for automorphisms of models of theories. The purpose of this book is to make a thorough, comprehensive examination of these groups of permutations. After providing the initial background Professor Glass develops the general structure theory, emphasizing throughout the geometric and intuitive aspects of the subject. He includes many applications to infinite simple groups, ordered permutation groups and lattice-ordered groups. The streamlined approach will enable the beginning graduate student to reach the frontiers of the subject smoothly and quickly. Indeed much of the material included has never been available in book form before, so this account should also be useful as a reference work for professionals.
Algorithms And Data Structures
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Author : Frank Dehne
language : en
Publisher: Springer
Release Date : 2015-07-27
Algorithms And Data Structures written by Frank Dehne and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Computers categories.
This book constitutes the refereed proceedings of the 14th Algorithms and Data Structures Symposium, WADS 2015, held in Victoria, BC, Canada, August 2015. The 54 revised full papers presented in this volume were carefully reviewed and selected from 148 submissions. The Algorithms and Data Structures Symposium - WADS (formerly Workshop on Algorithms And Data Structures), which alternates with the Scandinavian Workshop on Algorithm Theory, is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. WADS includes papers presenting original research on algorithms and data structures in all areas, including bioinformatics, combinatorics, computational geometry, databases, graphics, and parallel and distributed computing.