Normalisers in Limit Groups

Details Normalisers in Limit Groups Normalisers in Limit Groups

2005-05-24

arxiv.org/abs/math/0505506v1

Mathematics

Group Theory

10 pages, no figures

Scientific paper

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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