Brady, Noel2019-04-272019-04-272009https://hdl.handle.net/11244/319345A group is said to be large if it contains a finite index subgroup which mapsonto a non-abelian free group. This paper provides results for the largeness ofgraphs of finitely generated abelian groups. A complete classification is given forgraphs of infinite cyclic groups (generalized Baumslag-Solitar groups) and graphsof finite cyclic groups.72 pagesapplication.pdfAbelian groupsGraph theoryGroup theorytext