Some Properties of the Determinantal Ideals of Link Modules
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چکیده
Let L=K1 U .. , U Kp.r;;;S3 be a tame link of Jl~ 1 components with group G=7r1(S3_L). Also, let H=G/G' be the abelianization of G; H is then the (multiplicative) free abelian group generated by the meridians t1, ••• , tp. of L, and its integral group ring ZH consists of polynomials (with integer coefficients) in t 1 ,. .. , tp.' til, ... , t;l. The homomorphism 6: ZH~Z (which has 6(t;)=1 for each i) is the augmentation map, and its kernel is the augmentation ideal IH of ZH. If p: X~X =S3 L is the universal abelian cover of X, and F is its fiber, then
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