Groups and Their Graphs /

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The abstract nature of group theory makes its exposition, at an elementary level, difficult. The authors of the present volume have overcome this obstacle by leading the reader slowly from the concrete to the abstract, from the simple to the complex, employing effectively graphs or Cayley diagrams t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Grossman, Israel, 1909-2006, Magnus, Wilhelm, 1907-1990
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Anneli Lax new mathematical library.
Temas:
Group theory.
Graph theory.
Théorie des groupes.
MATHEMATICS > Algebra > Intermediate.
Graph theory
Group theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover
  • Groups and Their Graphs
  • Copyright Page
  • Contents
  • Preface
  • Chapter 1. Introduction to Groups
  • Chapter 2. Group Axioms
  • Chapter 3. Examples of Groups
  • Chapter 4. Multiplication Table of a Group
  • Chapter 5. Generators of a Group
  • Chapter 6. Graph of a Group
  • Chapter 7. Definition of a Group by Generators and Relations
  • Chapter 8. Subgroups
  • Chapter 9. Mappings
  • Chapter 10. Permutation Groups
  • Chapter 11. Normal Subgroups
  • Chapter 12. The Quaternion Group
  • Chapter 13. Symmetric and Alternating Groups
  • Chapter 14. Path GroupsChapter 15. Groups and Wallpaper Designs
  • Appendix: Group of the Dodecahedron and the Icosahedron
  • Solutions
  • Bibliography
  • Index

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