REIDEMEISTER ZETA FUNCTION FOR GROUP EXTENSIONS

  • Wong, Peter (Department of mathematics Bates College)
  • Published : 2001.11.01

Abstract

In this paper, we study the rationality of the Reidemeister zeta function of an endomorphism of a group extension. As an application, we give sufficient conditions for the rationality of the Reidemeister and the Nielsen zeta functions of selfmaps on an exponential solvmanifold or an infra-nilmanifold or the coset space of a compact connected Lie group by a finite subgroup.

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