Twisted Alexander invariant and a partial order in the knot table
نویسنده
چکیده
Twisted Alexander invariant is defined for a finitely presentable group G and a representation of G and a surjective homomorphism of G to a free abelian group. In this talk, we introduce some examples and some properties of the twisted Alexander invariant. Moreover, as an application, we consider a partial order on the set of prime knots. Let K be a knot and G(K) the knot group. For two prime knots K, K , we write K ≥ K , if there exists a surjective homomorphism from G(K) to G(K ). We determine this partial order “≥” on the set of prime knots in the Rolfsen’s table.
منابع مشابه
Twisted Alexander polynomials and a partial order on the set of prime knots
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