Subgroups of direct products with a free group

Author: Miller III C.F.

Source: Quarterly Journal of Mathematics, Volume 53, Number 4, December 2002 , pp. 503-506(4)

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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.

Document Type: Original article

Affiliations: 1: Department of Mathematics and Statistics, University of Melbourne, Parkville 3052, Australia

Publication date: 2002-12-01

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The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.