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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)
MathSciNet review: 803975
MSC: Primary 05C25

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Table of Contents


  • 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