Classes of free group extensions
Noam M.D. Kolodner

TL;DR
This paper classifies free group extensions using core graphs, showing that all have a base with onto morphisms, but some extensions exhibit injective morphisms without base points, revealing structural differences.
Contribution
It introduces a classification of free group extensions via core graphs and analyzes properties of graph morphisms with and without base points.
Findings
Every free group extension has a base with an onto graph morphism.
Some extensions have injective morphisms regardless of base points.
Graph morphism properties depend on the presence or absence of base points.
Abstract
In this paper we identify different classes of free group extension using core graphs. We show that every free group extension has a base such that the associated pointed graph morphism is onto. But if we examine graphs without base points, there is an extension such that for every base of the associated graph morphisms are injective.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory
