2023/11/03 by Brent B. Solie, Solie, Brent B.
Mathematics · #Geometric and Algebraic Topology #Algebraic Geometry and Number Theory #Limits and Structures in Graph Theory
paper · pdf · doi:10.48550/arxiv.2311.01668
We use Gersten's generalization of Whitehead's algorithm to determine whether a given finitely generated subgroup of a free group F is elliptic in an elementary cyclic splitting of F. We provide a similar result for all elementary cyclic splittings of a free group of rank two and partial results towards an algorithm for ellipticity in elementary cyclic splittings of F as an HNN-extension.