Permutation groups and combinatorial structures /
Biggs, Norman,
Permutation groups and combinatorial structures / Permutation Groups & Combinatorial Structures N.L. Biggs, A.T. White. - Cambridge : Cambridge University Press, 1979. - 1 online resource (140 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 33 . - London Mathematical Society lecture note series ; 33. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Permutation groups -- Finite geometries -- Designs -- Groups and graphs -- Maps.
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.
9780511600739 (ebook)
Permutation groups.
Combinatorial analysis.
QA174.2 / .B564 1979
512/.2
Permutation groups and combinatorial structures / Permutation Groups & Combinatorial Structures N.L. Biggs, A.T. White. - Cambridge : Cambridge University Press, 1979. - 1 online resource (140 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 33 . - London Mathematical Society lecture note series ; 33. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Permutation groups -- Finite geometries -- Designs -- Groups and graphs -- Maps.
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.
9780511600739 (ebook)
Permutation groups.
Combinatorial analysis.
QA174.2 / .B564 1979
512/.2