Permutation Groups And Combinatorial Structures
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Permutation Groups And Combinatorial Structures
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Author : Norman L. Biggs
language : en
Publisher:
Release Date : 1979
Permutation Groups And Combinatorial Structures written by Norman L. Biggs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Combinatorial analysis categories.
The subject of this book is the action of permutation groups on sets associated with combinatorial structures.
Permutation Groups And Combinatorial Structures
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Author : Norman Biggs
language : en
Publisher: Cambridge University Press
Release Date : 1979-08-16
Permutation Groups And Combinatorial Structures written by Norman Biggs 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 1979-08-16 with Mathematics categories.
The subject of this book is the action of permutation groups on sets associated with combinatorial structures. Each chapter deals with a particular structure: groups, geometries, designs, graphs and maps respectively. A unifying theme for the first four chapters is the construction of finite simple groups. In the fifth chapter, a theory of maps on orientable surfaces is developed within a combinatorial framework. This simplifies and extends the existing literature in the field. The book is designed both as a course text and as a reference book for advanced undergraduate and graduate students. A feature is the set of carefully constructed projects, intended to give the reader a deeper understanding of the subject.
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.
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.
Permutation Groups And Cartesian Decompositions
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Author : Cheryl E. Praeger
language : en
Publisher: London Mathematical Society Le
Release Date : 2018-05-03
Permutation Groups And Cartesian Decompositions written by Cheryl E. Praeger and has been published by London Mathematical Society Le this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Mathematics categories.
Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.
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.
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.
Oligomorphic Permutation Groups
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Author : Peter J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1990-06-29
Oligomorphic 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 1990-06-29 with Mathematics categories.
The study of permutations groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. This book discusses such structures, their substructures and their automorphism groups using a wide range of techniques.
Oligomorphic Permutation Groups
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Author : Peter Jephson Cameron
language : en
Publisher:
Release Date : 2014-05-14
Oligomorphic Permutation Groups written by Peter Jephson Cameron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. They are precisely those structures which are determined by first-order logical axioms together with the assumption of countability. This book concerns such structures, their substructures and their automorphism groups. A wide range of techniques are used: group theory, combinatorics, Baire category and measure among them. The book arose from lectures given at a research symposium and retains their informal style, whilst including as well many recent results from a variety of sources. It concludes with exercises and unsolved research problems.
Logarithmic Combinatorial Structures
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Author : Richard Arratia
language : en
Publisher: European Mathematical Society
Release Date : 2003
Logarithmic Combinatorial Structures written by Richard Arratia and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This book explains similarities in asymptotic behavior as the result of two basic properties shared by the structures: the conditioning relation and the logarithmic condition. The discussion is conducted in the language of probability, enabling the theory to be developed under rather general and explicit conditions; for the finer conclusions, Stein's method emerges as the key ingredient.