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On the intersection of free subgroups in free products of groups

On the intersection of free subgroups in free products of groups

Abstract Let ( G i | i ∈ I ) be a family of groups, let F be a free group, and let $G = F \ast \mathop{\text{\Large $*$}}_{i\in I} G_i,$ the free product of F and all the G i . Let $\mathcal{F}$ denote the set of all finitely …