Twisted Alexander polynomials and surjectivity of a group homomorphism

Teruaki Kitano; Masaaki Suzuki; Masaaki Wada

doi:10.2140/agt.2005.5.1315

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Twisted Alexander polynomials and surjectivity of a group homomorphism

Teruaki Kitano·Masaaki Suzuki·Masaaki Wada

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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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Teruaki Kitano, Masaaki Suzuki, Masaaki Wada. 2005-10-11. Twisted Alexander polynomials and surjectivity of a group homomorphism. https://doi.org/10.2140/agt.2005.5.1315

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