Twisted Alexander polynomials and surjectivity of a group homomorphism
classification
🧮 math.GT
math.GR
keywords
alexanderhomomorphismtwistedpolynomialsurjectiveapplicationcertaindivisible
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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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