Permutation Groups and Combinatorial Structures

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. Language: English