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Dynamical zeta functions, Nielsen theory and Reidemeister torsion


About this Title

Alexander Fel′shtyn

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 147, Number 699
ISBNs: 978-0-8218-2090-2 (print); 978-1-4704-0290-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0699
MathSciNet review: 1697460
MSC (1991): Primary 37C30; Secondary 37C15, 37C25, 55M20

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Table of Contents


Chapters

  • Introduction
  • 1. Nielsen fixed point theory
  • 2. The Reidemeister zeta function
  • 3. The Nielsen zeta function
  • 4. Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions
  • 5. Congruences for Reidemeister and Nielsen numbers
  • 6. The Reidemeister torsion