Elliptic subgroups in cyclic splittings of a free group
Group Theory
2023-11-06 v1
Abstract
We use Gersten's generalization of Whitehead's algorithm to determine whether a given finitely generated subgroup of a free group is elliptic in an elementary cyclic splitting of . 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 as an HNN-extension.
Keywords
Cite
@article{arxiv.2311.01668,
title = {Elliptic subgroups in cyclic splittings of a free group},
author = {Brent B. Solie},
journal= {arXiv preprint arXiv:2311.01668},
year = {2023}
}
Comments
24 pages, 7 figures