Twisted Alexander polynomials and surjectivity of a group homomorphism

Details Twisted Alexander polynomials and surjectivity of a group homomorphism Twisted Alexander polynomials and surjectivity of a group homomorphism

2005-10-11

arxiv.org/abs/math/0510224v1

Algebr. Geom. Topol. 5 (2005) 1315-1324

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-51.abs.html

Scientific paper

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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