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Author | : Norman L. Biggs |
Publisher | : |
Total Pages | : 152 |
Release | : 1979 |
Genre | : Combinatorial analysis |
ISBN | : |
Download Permutation groups and combinatorial structures Book in PDF, ePub and Kindle
The subject of this book is the action of permutation groups on sets associated with combinatorial structures.
Author | : Norman Biggs |
Publisher | : |
Total Pages | : |
Release | : 1977 |
Genre | : |
ISBN | : |
Download Permutation Groups and Combinatorial Structures Book in PDF, ePub and Kindle
Author | : Norman Biggs |
Publisher | : Cambridge University Press |
Total Pages | : 153 |
Release | : 1979-08-16 |
Genre | : Mathematics |
ISBN | : 0521222877 |
Download Permutation Groups and Combinatorial Structures Book in PDF, ePub and Kindle
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.
Author | : Peter J. Cameron |
Publisher | : Cambridge University Press |
Total Pages | : 236 |
Release | : 1999-02-04 |
Genre | : Mathematics |
ISBN | : 9780521653787 |
Download Permutation Groups Book in PDF, ePub and Kindle
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Author | : Meenaxi Bhattacharjee |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 1998-11-20 |
Genre | : Mathematics |
ISBN | : 9783540649656 |
Download Notes on Infinite Permutation Groups Book in PDF, ePub and Kindle
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.
Author | : Cheryl E. Praeger |
Publisher | : Cambridge University Press |
Total Pages | : 338 |
Release | : 2018-05-03 |
Genre | : Mathematics |
ISBN | : 131699905X |
Download Permutation Groups and Cartesian Decompositions Book in PDF, ePub and Kindle
Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O'Nan–Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.
Author | : D. G. Higman |
Publisher | : |
Total Pages | : 66 |
Release | : 1972 |
Genre | : Combinatorial analysis |
ISBN | : |
Download Combinatorial Considerations about Permutation Groups Book in PDF, ePub and Kindle
Author | : John D. Dixon |
Publisher | : Springer Science & Business Media |
Total Pages | : 360 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461207312 |
Download Permutation Groups Book in PDF, ePub and Kindle
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.
Author | : M Bhattacharjee |
Publisher | : Springer |
Total Pages | : 212 |
Release | : 1997-01-01 |
Genre | : Mathematics |
ISBN | : 9380250916 |
Download Notes on Infinite Permutation Groups Book in PDF, ePub and Kindle
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.