LARGENESS OF GRAPHS OF ABELIAN GROUPS
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Abstract
A group is said to be large if it contains a finite index subgroup which maps
onto a non-abelian free group. This paper provides results for the largeness of
graphs of finitely generated abelian groups. A complete classification is given for
graphs of infinite cyclic groups (generalized Baumslag-Solitar groups) and graphs
of finite cyclic groups.