Title: Groups assembled from free and direct products (download pdf)

Authors: Carl Droms, Brigitte Servatius and Herman Servatius

Reference: Discrete Math., \vol{109}, 69--75, 1992.

Abstract: Let $\AssemblyGroups$ be the collection of groups which can be assembled from infinite cyclic groups using the binary operations free and direct product. These groups can be described in several ways by graphs. The group $(Z \freeprod Z) \directprod (Z \freeprod Z)$ has been shown by~\cite{BaumlagRoseblade} to have a rich subgroup structure. In this article we examine subgroups of $\AssemblyGroups$--groups.

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