Galois theory, graphs and free groups

2006/06/14 by Brent Everitt, Everitt, Brent
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GR #msc:20F04

paper · pdf · doi:10.48550/arxiv.math/0606326

22 pages

arxiv created 2006/06/14 · arxiv updated 2009/12/01

Abstract

A self-contained exposition is given of the topological and Galois-theoretic properties of the category of combinatorial 1-complexes, or graphs, very much in the spirit of Stallings. A number of classical, as well as some new results about free groups are derived.

Related

• The Combinatorial Topology of Groups
• The topology and geometry of automorphism groups of free groups
• The topology, geometry and dynamics of free groups. Part I: Outer space, fold paths, and the Nielsen/Whitehead problems
• Topological Galois Theory
• Simplicial complexes defined on groups