The determinantal ideals of link modules. I

The Determinantal Ideals of Link Modules. I

of ZfiΓ-modules and ZH-homomorphisms will be called an augmentation sequence if A is a finitely generated Ziϊ-module. Since ZH is a noetherian ring, A is then a finitely presented Zff-module; also, the module B in an augmentation sequence is finitely presented, since it is isomorphic to a submodule of A. For instance, if L £ S is a tame link of m components, G = π^S — L), and G is the commutato...

The Determinantal Ideals of Link Modules. Ii

Some Properties of the Determinantal Ideals of Link Modules

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 e...

Krs and Determinantal Ideals

Krs and Determinantal Ideals