2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170667We give an explicit recursive presentation for Mihailova's subgroup $M(H)$ of $F_n \times F_n$ corresponding to a finite, concise and Peiffer aspherical presentation $H=< x_1,..., x_n \mid R_1,..., R_m>$. This partially answers a question of R.I. Grigorchuk, [8, Problem 4.14]. As a corollary, we construct a finitely generated recursively presented orbit undecidable subgroup of $Aut(F_3)$.9 pagesGroup Theory20F05; 20F10A recursive presentation for Mihailova's subgrouptext