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The Quarterly Journal of Mathematics 2001 52(1):127-131; doi:10.1093/qjmath/52.1.127
© 2001 by Oxford University Press
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Finitely presented subgroups of a product of two free groups

Hamish Short1

1 LATP, UMR 6632, Centre de Mathématiques et d'Informatique, 39 Rue Joliot-Curie, Université de Provence, F–13453, Marseille Cedex 13, France, e-mail: hamish{at}cmi.univ-mrs.fr

We use van Kampen diagram techniques to give a new geometric proof of the Baumslag and Roseblade result that a non-free finitely presented subgroup of a direct product of two free groups is virtually a product of subgroups of the factors.

Received 21 September 1998.


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