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On a theorem of Anosov on Nielsen numbers for nilmanifolds. (English) Zbl 0596.58035

Nonlinear functional analysis and its applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1985, NATO ASI Ser., Ser. C 173, 47-53 (1986).
[For the entire collection see Zbl 0583.00019.]
The authors prove that for maps f of compact nilmanifolds the Nielsen number n(f) equals \(| L(f)|\), where L(f) is the Lefschetz-Hopf number [for definitions see R. F. Brown, The Lefschetz fixed point theorem (1971; Zbl 0216.196)].
Reviewer: Y.Kifer

MSC:

37D99 Dynamical systems with hyperbolic behavior
55M20 Fixed points and coincidences in algebraic topology
55N99 Homology and cohomology theories in algebraic topology