Journal article

Subgroups of direct products of limit groups

Martin R Bridson, James Howie, Charles F Miller, Hamish Short

ANNALS OF MATHEMATICS | ANNALS MATHEMATICS, FINE HALL | 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.

University of Melbourne Researchers

Grants

Awarded by Alliance Scientifique


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.