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Groups and Their Graphs / Israel Grossman, Wilhelm Magnus.

Contributor(s): Material type: TextTextSeries: Anneli Lax new mathematical libraryPublication details: Cambridge : Cambridge University Press, 2012.Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780883859292
  • 0883859297
Subject(s): Additional physical formats: Print version:: Groups and Their Graphs.DDC classification:
  • 512.86
LOC classification:
  • QA171
Online resources:
Contents:
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
Summary: 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 to hlep the student visualize some of the structural properties of groups. Among the concrete examples of groups, the authors include groups of congruence motions and groups of permutations. A conscientious reader will acquire a good intuitive grasp of this pwerful subject.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Title from publishers bibliographic system (viewed on 30 Jan 2012).

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

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 to hlep the student visualize some of the structural properties of groups. Among the concrete examples of groups, the authors include groups of congruence motions and groups of permutations. A conscientious reader will acquire a good intuitive grasp of this pwerful subject.

Added to collection customer.56279.3

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