National Science Library of Georgia

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Permutation groups and combinatorial structures / N.L. Biggs, A.T. White.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 33.Publisher: Cambridge : Cambridge University Press, 1979Description: 1 online resource (140 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511600739 (ebook)
Other title:
  • Permutation Groups & Combinatorial Structures
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.2 18
LOC classification:
  • QA174.2 .B564 1979
Online resources:
Contents:
Permutation groups -- Finite geometries -- Designs -- Groups and graphs -- Maps.
Summary: 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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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.

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