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- W4319339094 abstract "Let H be a group of type FP over the rationals and let ϕ:H→H be an automorphism whose class in Out(H) has finite order and such that the Lefschetz number of some iterate ϕi is nonzero. We show that under a suitable Bass conjecture assumption, this iterate ϕi is conjugate to a finite order automorphism, and the intersection of the fixed point set of ϕ with the center of H is of bounded exponent. In the torsion-free case it follows that the center of the HNN extension 〈H,t|∀h∈H:tht−1=ϕ(h)〉 is infinite cyclic. These results are related to Geoghegan and Nicas' first order Euler characteristic of a group G with a finite Eilenberg-MacLane complex; this is a morphism χ1(G) from the center of G to H1(G;k) where k is a ring of coefficients. We give a complete determination of χ1(G) with rational coefficients." @default.
- W4319339094 created "2023-02-08" @default.
- W4319339094 creator A5019537676 @default.
- W4319339094 date "2023-07-01" @default.
- W4319339094 modified "2023-10-14" @default.
- W4319339094 title "Rational Reidemeister trace of an outer automorphism of finite order" @default.
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- W4319339094 doi "https://doi.org/10.1016/j.jpaa.2023.107350" @default.
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