Reidemeister numbers
Keywords
Reidemeister number, twisted conjugacy classes, Gromov hyperbolic group, fundamental groupAbstract
In [A. L. Fel’shtyn and R. Hill, < i> The Reidemeister zeta function with applications to Nielsen theory and connection with Reidemeister torsion< /i> , K-Theory < b> 8< /b> (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.Downloads
Published
2003-03-01
How to Cite
1.
FEL’SHTYN, Alexander. Reidemeister numbers. Topological Methods in Nonlinear Analysis. Online. 1 March 2003. Vol. 21, no. 1, pp. 147 - 154. [Accessed 24 April 2024].
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