论文信息 - Nielsen numbers of homotopically periodic maps on infrasolvmanifolds

Nielsen numbers of homotopically periodic maps on infrasolvmanifolds

A well-known lower bound for the number of fixed points of a self-map f: X → X is the Nielsen number N(f). Unfortunately, the Nielsen number is difficult to calculate. The Lefschetz number L(f), on the other hand, is readily computable but usually does not estimate the number of fixed points. In this paper, we show that on infrasolvmanifolds (aspherical manifolds whose fundamental group has a normal solvable group of finite index), N(f) = L(f) when f is a homotopically periodic map

C. McCord

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