Normalisers in Limit Groups

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.

10 pages, no figures

References in corpus (1)

• Limit groups as limits of free groups: compactifying the set of free groups