Abstract
In [A. L. Fel’shtyn and R. Hill, The Reidemeister zeta function with applications to Nielsen theory and connection with Reidemeister torsion, K-Theory 8 (1994), 367–393] we have conjectured that the Reidemeister number is infinite as long as an endomorphism of a discrete group is injective and the group has exponential growth. In the paper we prove this conjecture for any automorphism of a non-elementary, Gromov hyperbolic group. We also prove some generalisations of this result. The main results of the paper have topological counterparts.
Citation
Alexander Fel'shtyn. "Reidemeister numbers." Topol. Methods Nonlinear Anal. 21 (1) 147 - 154, 2003.
Information
