On the Homology of Finite Abelian Coverings of Links
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 309-315

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Let A be a finite abelian group and M be a branched cover of an homology 3-sphere, branched over a link L, with covering group A. We show that H1(M; Z[1/|A|]) is determined as a Z[1/|A|][A]-module by the Alexander ideals of L and certain ideal class invariants.
DOI : 10.4153/CMB-1997-037-9
Mots-clés : 57M25, Alexander ideal, branched covering, Dedekind domain, knot, link
Hillman, J. A.; Sakuma, M. On the Homology of Finite Abelian Coverings of Links. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 309-315. doi: 10.4153/CMB-1997-037-9
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     title = {On the {Homology} of {Finite} {Abelian} {Coverings} of {Links}},
     journal = {Canadian mathematical bulletin},
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     year = {1997},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-037-9/}
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