Subgroups of direct products of graphs of groups with free abelian vertex groups
Montserrat Casals-Ruiz,
Jone Lopez de Gamiz Zearra
Abstract:A result of Baumslag and Roseblade states that a finitely presented subgroup of the direct product of two free groups is virtually a direct product of free groups. In this paper we generalise this result to the class of cyclic subgroup separable graphs of groups with free abelian vertex groups and cyclic edge groups. More precisely, we show that a finitely presented subgroup of the direct product of two groups in this class is virtually a semidirect product of a group which is the direct product of two groups … Show more
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