#### Volume 5, issue 4 (2005)

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 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Twisted Alexander polynomials and surjectivity of a group homomorphism

### Teruaki Kitano, Masaaki Suzuki and Masaaki Wada

Algebraic & Geometric Topology 5 (2005) 1315–1324
 arXiv: math.GT/0510224
##### Abstract

If $\phi :\phantom{\rule{0.3em}{0ex}}G\to {G}^{\prime }$ is a surjective homomorphism, we prove that the twisted Alexander polynomial of $G$ is divisible by the twisted Alexander polynomial of ${G}^{\prime }$. As an application, we show non-existence of surjective homomorphism between certain knot groups.

##### Keywords
twisted Alexander polynomial, finitely presentable group, surjective homomorphism, Reidemeister torsion
Primary: 57M25
Secondary: 57M05