“…These calculations are made by author's computer program and the same results are obtained by Kodama Knot program [6]. None of them can be divided by P , so we conclude that there exists no surjective homomorphisms from G(8 21 ) to G(4 1 ).…”
′ 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.
“…These calculations are made by author's computer program and the same results are obtained by Kodama Knot program [6]. None of them can be divided by P , so we conclude that there exists no surjective homomorphisms from G(8 21 ) to G(4 1 ).…”
′ 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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