Pages 1447-1467 from Volume 170 (2009), Issue 3 by Martin R. Bridson, James Howie, Charles F. Miller III, Hamish Short
Abstract
SelaIf $\Gamma_1,\dots,\Gamma_n$ are limit groups and $S\subset\Gamma_1\times\dots\times\Gamma_n$ is of type ${\rm FP}_n(\mathbb Q)$ then $S$ contains a subgroup of finite index that is itself a direct product of at most $n$ limit groups. This answers a question of Sela.
Received: 30 April 2007
Revised: 18 September 2007
Accepted: 20 October 2007
Authors
Martin R. Bridson
Mathematical Institute
24-29 St Giles’
Oxford OX1 3LB
United Kingdom
James Howie
Department of Mathematics and Maxwell Institute for Mathematical Sciences
Heriot-Watt University
Edinburgh EH14 4AS
United Kingdom
Charles F. Miller III
Department of Mathematics and Statistics
University of Melbourne
Melbourne 3010
Australia
Hamish Short
L.A.T.P., U.M.R. 6632
Centre de Mathématiques et
d’Informatique
39 Rue Joliot-Curie
Université de Provence
13453 Marseille cedex 13
France
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