2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152984The main result of this paper states that for any group $G$ with an automatic structure $L$ with unique representatives one can construct a uniform partial algorithm which detects $L$-rational subgroups and gives their preimages in $L$. This provides a practical, not just theoretical, procedure for solving the occurrence problem for such subgroups.AMS-Tex, 7 pages, no figures. To appear in the Proceedings of the DIMACS meeting on Computational Group Theory (March 1994)Group TheoryDetecting quasiconvexity: algorithmic aspectstext