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Normalisers in Limit Groups

Martin R Bridson·James Howie
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Abstract

Let $\G$ be a limit group, $S\subset\G$ a subgroup, and $N$ the normaliser of $S$. If $H_1(S,\mathbb Q)$ has finite $\Q$-dimension, then $S$ is finitely generated and either $N/S$ is finite or $N$ is abelian. This result has applications to the study of subdirect products of limit groups.

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Martin R Bridson, James Howie. 2005-05-24. Normalisers in Limit Groups. https://arxiv.org/abs/math/0505506

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