Permutation Groups and Combinatorial Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Permutation Groups and Combinatorial Structures write by Norman Biggs. This book was released on 1979-08-16. Permutation Groups and Combinatorial Structures available 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.
Permutation groups and combinatorial structures
Permutation groups and combinatorial structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Permutation groups and combinatorial structures write by Norman L. Biggs. This book was released on 1979. Permutation groups and combinatorial structures available in PDF, EPUB and Kindle. The subject of this book is the action of permutation groups on sets associated with combinatorial structures.
Permutation Groups
Permutation Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Permutation Groups write by Peter J. Cameron. This book was released on 1999-02-04. Permutation Groups available in PDF, EPUB and Kindle. This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Notes on Infinite Permutation Groups
Notes on Infinite Permutation Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Notes on Infinite Permutation Groups write by Meenaxi Bhattacharjee. This book was released on 1998-11-20. Notes on Infinite Permutation Groups available 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.
Permutation Groups and Cartesian Decompositions
Permutation Groups and Cartesian Decompositions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Permutation Groups and Cartesian Decompositions write by Cheryl E. Praeger. This book was released on 2018-05-03. Permutation Groups and Cartesian Decompositions available 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.
