TY - BOOK AU - Biggs,Norman AU - White,Arthur T. TI - Permutation groups and combinatorial structures T2 - London Mathematical Society lecture note series SN - 9780511600739 (ebook) AV - QA174.2 .B564 1979 U1 - 512/.2 18 PY - 1979/// CY - Cambridge PB - Cambridge University Press KW - Permutation groups KW - Combinatorial analysis N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Permutation groups -- Finite geometries -- Designs -- Groups and graphs -- Maps N2 - 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 UR - https://doi.org/10.1017/CBO9780511600739 ER -