Computing Reidemeister classes

Fundamenta Mathematicae

Volumn 158, Issue 1, 1999, Pages 1-18

  Ferrario, Davide ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

Fixed point theory; Nielsen numbers; Reidemeister numbers

Indexed keywords

EID: 0038631452     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. R. F. Brown, The Lefschetz Fixed Point Theorem, Scott and Foresman, 1971.
2. O. Davey, E. Hart and K. Trapp, Computation of Nielsen numbers for maps of closed surfaces, Trans. Amer. Math. Soc. 348 (1996), 3245-3266.
3. E. Fadell and S. Husseini, The Nielsen number on surfaces, in: Contemp. Math. 21, Amer. Math. Soc., 1983, 59-98.
4. A. Fel'shtyn and R. Hill, The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion, K-Theory 8 (1994), 367-393.
5. B. Halpern, Periodic points on the Klein bottle, manuscript.
6. P. R. Heath, Product formulae for Nielsen numbers of fibre maps, Pacific J. Math. 117 (1985), 267-289.
7. P. R. Heath, E. Keppelmann and P. N. S. Wong, Addition formulae for Nielsen numbers and Nielsen-type numbers of fibre preserving maps, Topology Appl. 67 (1995), 133-157.
8. S. Y. Husseini, Generalized Lefschetz numbers, Trans. Amer. Math. Soc. 272 (1982), 247-274.
9. B. J. Jiang, Lectures on Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, 1983.
10. W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations, Dover, 1966.
11. C. K. McCord, Computing Nielsen numbers, in: Nielsen Theory and Dynamical Systems (South Hadley, Mass., 1992), Contemp. Math. 152, Amer. Math. Soc., Providence, 1993, 249-267.
12. P. Wong, Fixed-point theory for homogeneous spaces, Amer. J. Math. 120 (1998), 23-42.
13. C. Y. You, Fixed point classes of a fiber map, Pacific J. Math. 100 (1982), 217-241.