2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75301Let $\G$ 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 figuresGroup TheoryGeneral Topology20F65, 20E08, 20F67text