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Groups and their graphs / by Israel Grossman and Wilhelm Magnus.
- Format:
- Book
- Author/Creator:
- Grosman, Yisrael.
- Series:
- Anneli Lax New Mathematical Library
- Anneli Lax New Mathematical Library ; 14
- Language:
- English
- Subjects (All):
- Group theory.
- Graph theory.
- Physical Description:
- 1 online resource (vii, 195 pages) : digital, PDF file(s).
- Edition:
- 1st ed.
- Place of Publication:
- Washington, DC : Mathematical Association of America, 1992.
- Language Note:
- English
- 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.
- 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 Groups""""Chapter 15. Groups and Wallpaper Designs""; ""Appendix: Group of the Dodecahedron and the Icosahedron""; ""Solutions""; ""Bibliography""; ""Index""
- Notes:
- Title from publisher's bibliographic system (viewed on 02 Oct 2015).
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 0-88385-929-7
- OCLC:
- 929120301
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