Journal article
Subgroups of direct products of limit groups
MR Bridson, J Howie, CF Miller, H Short
Annals of Mathematics | Published : 2009
Abstract
If Γ1,...,Γn are limit groups and S ⊂ Γ1 ×...×Γn is of type FPn(Q{double-struck}) 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. © Copyright 2009 Annals of Mathematics. All rights reserved.
Grants
Awarded by Engineering and Physical Sciences Research Council
Funding Acknowledgements
This work was supported in part by the CNRS (France) and by Alliance Scientifique grant # PN 05.004. Bridson is supported by a Royal Society Nuffield Research Merit Award and an EPSRC Senior Fellowship.