REIDEMEISTER ORBIT SETS ON THE MAPPING TORUS

Title & Authors
REIDEMEISTER ORBIT SETS ON THE MAPPING TORUS
Lee, Seoung-Ho;

Abstract
The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Let f : G $\small{\longrightarrow}$ G be an endomorphism between the fundamental group of the mapping torus. Extending Jiang and Ferrario's works on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets of f relative to Reidemeister sets on suspension groups. In particular, if f is an automorphism, an similar formula for Reidemeister orbit sets of f relative to Reidemeister sets on given groups is also proved.
Keywords
Reidemeister sets;Reidemeister orbit sets;suspension groups;
Language
English
Cited by
References
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