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arXiv:math/0510224 [math.GT]AbstractReferencesReviewsResources

Twisted Alexander polynomials and surjectivity of a group homomorphism

Teruaki Kitano, Masaaki Suzuki, Masaaki Wada

Published 2005-10-11Version 1

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-51.abs.html
Journal: Algebr. Geom. Topol. 5 (2005) 1315-1324
Categories: math.GT, math.GR
Subjects: 57M25, 57M05
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