Twisted Alexander Polynomial and Surjectivity of a Group Homomorphism
نویسندگان
چکیده
If φ : 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.
منابع مشابه
Twisted Alexander polynomials and surjectivity of a group homomorphism
If ϕ : 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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تاریخ انتشار 2004