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The classification of minimal graphs with given abelian automorphism group
About this Title
William C. Arlinghaus
Publication: Memoirs of the American Mathematical Society
Publication Year:
1985; Volume 57, Number 330
ISBNs: 978-0-8218-2331-6 (print); 978-1-4704-0743-8 (online)
DOI: https://doi.org/10.1090/memo/0330
MathSciNet review: 803975
MSC: Primary 05C25
Table of Contents
Chapters
- 1. A historical perspective
- 2. $F$-diagrams of graphs
- 3. Commutativity lemmas
- 4. Construction of Meriwether graphs
- 5. Cyclic groups of prime power order
- 6. Meriwether’s theorem
- 7. $P$-groups as automorphism groups of graphs
- 8. The general case
- Appendix A. Candidates for minimal graphs
- Appendix B. Variations of commutativity lemmas