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math.GT2009★ 1 cited
Twisted Alexander polynomials of 2-bridge knots associated to metabelian representations
Mikami Hirasawa, Kunio Murasugi
Suppose the knot group G(K) of a knot K has a non-abelian representation ρon A_4 \subset GL(4,Z). We conjecture that the twisted Alexander polynomial of K associated to ρis of the…
math.GT2009★ 8 cited
Twisted Alexander polynomials of 2-bridge knots associated to metacyclic representations
Mikami Hirasawa, Kunio Murasugi
Let p be an odd prime and D_p a dihedral group of order 2p. Let ρ: G(K) --> D_p --> GL(p,Z) be a non-abelian representation of the knot group G(K) of a knot K in 3-sphere. Let Δ_{ρ…