Every finite abelian group appears as homological torsion in some finite-index subgroup of any hyperbolic graph of free groups with cyclic edge groups that is not a free product of free and surface groups.
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Virtual homological torsion in graphs of free groups with cyclic edge groups
Every finite abelian group appears as homological torsion in some finite-index subgroup of any hyperbolic graph of free groups with cyclic edge groups that is not a free product of free and surface groups.