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Exponential genus problems in one-relator products of groups

About this Title

A. J. Duncan

Publication: Memoirs of the American Mathematical Society
Publication Year 2007: Volume 186, Number 873
ISBNs: 978-0-8218-3945-4 (print); 978-1-4704-0477-2 (online)
MathSciNet review: 2294597
MSC: Primary 20E06

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Table of Contents


  • 1. Introduction
  • 2. Quadratic words
  • 3. Quadratic exponential equations and $\mathcal {L}$-genus
  • 4. Resolutions of quadratic equations
  • 5. Decision problems
  • 6. Pictures
  • 7. Corridors
  • 8. Angle assignment
  • 9. Curvature
  • 10. Configurations $C$
  • 11. Configurations $D$
  • 12. Final angle adjustment
  • 13. Isoperimetry
  • 14. Proof of Theorem 5.9
American Mathematical Society