Automorphic orbits in free groups: recent progress
Abstract
In this survey, we describe recent progress on asymptotic properties of various automorphic orbits in free groups. In particular, we address the problem of counting potentially positive elements of a given length. We also discuss complexity (worst-case, average-case, and generic-case) of Whitehead's automorphism problem and relevant properties of automorphic orbits, including orbit-blocking words. 8 pages
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Finite Group Theory Research
Publication details
- Journal / source
- journal of Groups complexity cryptology
- Volume
- Volume 18, Issue 1, Special...
- Publication date
- 19 June 2026
- Language
- EN