If is a surjective homomorphism, we prove that the twisted Alexander polynomial of is divisible by the twisted Alexander polynomial of . As an application, we show non-existence of surjective homomorphism between certain knot groups.
"Twisted Alexander polynomials and surjectivity of a group homomorphism." Algebr. Geom. Topol. 5 (4) 1315 - 1324, 2005. https://doi.org/10.2140/agt.2005.5.1315