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Proceedings of the London Mathematical Society Advance Access originally published online on June 7, 2007
Proceedings of the London Mathematical Society 2007 95(2):473-496; doi:10.1112/plms/pdm020
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© 2007 London Mathematical Society

Elementarily free groups are subgroup separable

Henry Wilton

Department of Mathematics
University of Texas
1 University Station C1200
Austin, TX 78712-0257
USA
henry.wilton{at}math.utexas.edu

Received 23 November 2005. Revision received 30 January 2007.

Elementarily free groups are the finitely generated groups with the same elementary theory as free groups. We prove that elementarily free groups are subgroup separable, answering a question of Zlil Sela.

2000 Mathematics Subject Classification 20F65 (primary), 20E26, 20E05 (secondary).

This research was supported by an EPSRC grant.


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