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Permutation Groups & Combinatorial Structures by Norman L. Biggs
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About this book :-
Permutation Groups & Combinatorial Structures Norman L. Biggs.
The subject of this book is the action of permutation groups on sets associated with combinatorial structures. Each 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.
Book Detail :-
Title: Permutation Groups & Combinatorial Structures
Author(s): Norman L. Biggs
Publisher: Cambridge University Press
Series: London Mathematical Society lecture note series
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About Author :-
The author Norman L. Biggs was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.
He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.
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Book Contents :-
Permutation Groups & Combinatorial Structures Norman L. Biggs cover the following topics.
Note on the Projects
1. Permutation Groups
2. Finite Geometries
4. Groups and Graphs
Notes and references
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