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Permutation Groups and Combinatorial Structures
Norman BiggsA. T. White
出版Cambridge University Press, 1979-08-16
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Group TheoryMathematics / Combinatorics
ISBN05212228779780521222877
URLhttp://books.google.com.hk/books?id=YuFs5FIkA6sC&hl=&source=gbs_api
EBookSAMPLE
註釋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.