TL;DR
This paper introduces an effective algorithm to detect automorphic orbits in free groups and improves existing algorithms for train tracks related to free group automorphisms.
Contribution
It provides a novel algorithm for automorphic orbit detection and enhances the efficiency of train track algorithms for free group automorphisms.
Findings
Algorithm successfully detects automorphic orbits in free groups.
Improved train track algorithms increase computational efficiency.
Potential applications in group theory and geometric topology.
Abstract
We present an effective algorithm for detecting automorphic orbits in free groups, as well as a number of algorithmic improvements of train tracks for free group automorphisms.
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