2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62230We introduce a new algebraic topological technique to detect non-fibred knots in the three sphere using the twisted Alexander invariants. As an application, we show that for any Seifert matrix of a knot with a nontrivial Alexander polynomial, there exist infinitely many non-fibered knots with the given Seifert matrix. We illustrate examples of knots that have trivial Alexander polynomials but do not have twisted Alexander invariants of fibred knots.14 pages, 5 figures; minor modification, reference addition, and address changeGeometric Topology57M25text