Subgroups of direct products of limit groups

Details Subgroups of direct products of limit groups Subgroups of direct products of limit groups

2007-04-30

arxiv.org/abs/0704.3935v2

Mathematics

Group Theory

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

Scientific paper

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.

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