Subgroups of direct products of limit groups

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

Subgroups of direct products of limit groups

Group Theory 2007-11-07 v2 Geometric Topology

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

Abstract

If $G_1,...,G_n$ are limit groups and $S\subset G_1\times...\times G_n$ is of type $\FP_n(\mathbb Q)$ then $S$ contains a subgroup of finite index that is itself a direct product of at most $n$ limit groups. This settles a question of Sela.

Keywords

limit groups direct products subgroups finite index homological finiteness

Cite

@article{arxiv.0704.3935,
  title  = {Subgroups of direct products of limit groups},
  author = {Martin R Bridson and James Howie and Charles F Miller and Hamish Short},
  journal= {arXiv preprint arXiv:0704.3935},
  year   = {2007}
}

Comments

20 pages, no figures. Final version. Accepted by the Annals of Mathematics

Subgroups of direct products of limit groups

Abstract

Keywords

Cite

Comments

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