2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77729We prove that the word problem of a finitely generated group $G$ is in NP (solvable in polynomial time by a non-deterministic Turing machine) if and only if this group is a subgroup of a finitely presented group $H$ with polynomial isoperimetric function. The embedding can be chosen in such a way that $G$ has bounded distortion in $H$.47 pagesGroup Theory20Isoperimetric Functions of Groups and Computational Complexity of the Word Problemtext