J. Korean Math. Soc. 2001; 38(6): 1107-1116
Printed November 1, 2001
Copyright © The Korean Mathematical Society.
Peter Wong
Bates College
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.
Keywords: dynamical zeta function, Nielsen fixed point theory, homogeneous spaces, solvmanifolds, infra-nilmanifolds
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