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arXiv · 0704.3935

Subgroups of direct products of limit groups

Martin R Bridson·James Howie·Charles F Miller III·Hamish Short
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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.

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Martin R Bridson, James Howie, Charles F Miller III, Hamish Short. 2007-11-06. Subgroups of direct products of limit groups. https://arxiv.org/abs/0704.3935

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