Inventiones mathematicae

, Volume 160, Issue 2, pp 341–356 | Cite as

Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms



We prove that every mapping torus of any free group endomorphism is residually finite. We show how to use a not yet published result of E. Hrushovski to extend our result to arbitrary linear groups. The proof uses algebraic self-maps of affine spaces over finite fields. In particular, we prove that when such a map is dominant, the set of its fixed closed scheme points is Zariski dense in the affine space.


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© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Department of MathematicsPenn State UniversityUniversity ParkUSA
  2. 2.Department of MathematicsVanderbilt UniversityNashvilleUSA

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