Permutation Groups and Combinatorial Structures

by Norman L. Biggs, A. T. White

Series: London Mathematical Society Lecture Note Series (No. 33)

Subject categories
ISBNs
  • 9780521222877
  • 9780511891915
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.

Subject categories
ISBNs
  • 9780521222877
  • 9780511891915