Twisted Alexander polynomials and surjectivity of a group homomorphism

2005/10/11 by Teruaki Kitano, Masaaki Suzuki, Masaaki Wada · 1 citation
Mathematics · #math.GT #math.GR #msc:57M25 #msc:57M05

paper · pdf · doi:10.2140/agt.2005.5.1315

published as Algebr. Geom. Topol. 5 (2005) 1315-1324 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-51.abs.html

arxiv created 2005/10/11 · arxiv updated 2014/09/30

Abstract

If phi: G-->G' is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted Alexander polynomial of G'. As an application, we show non-existence of surjective homomorphism between certain knot groups.

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