Heriot-Watt Mathematics Report Series
HWM05-12, 25 May 2005
Normalizers in Limit Groups
M R Bridson and J Howie
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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