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Permutation Groups and Combinatorial Structures

Permutation Groups and Combinatorial Structures

Paperback

Series: London Mathematical Society Lecture Note, Book 33

AlgebraGeneral Mathematics

ISBN10: 0521222877
ISBN13: 9780521222877
Publisher: Cambridge University Press
Published: Aug 16 1979
Pages: 152
Weight: 0.51
Height: 0.35 Width: 6.00 Depth: 9.00
Language: English
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.

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Algebra