Charles F. Miller
Abstract
A result of Baumslag and Roseblade says that a finitely presented subgroup of a direct product of two free groups is either free or virtually a direct product of free groups. We give a particularly straightforward proof of this result using an argument of a more general character. Additional applications of the method are given.
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A result of Baumslag and Roseblade says that a finitely presented subgroup of a direct product of two free groups is either free or virtually a direct product of free groups. We give a particularly straightforward proof of this result using an argument of a more general character. Additional applications of the method are given.
Key concepts: Free product, Direct product, Argument (complex analysis), Group (periodic table), Mathematics, Free group, Product (mathematics), Character (mathematics)