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On the Homology of Finite Abelian Coverings of Links

Published online by Cambridge University Press:  20 November 2018

J. A. Hillman  and
M. Sakuma
J. A. Hillman
Affiliation:
School of Mathematics and Statistics, The University of Sydney, Sydney, New South Wales 2006, Australia
M. Sakuma
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560, Japan
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Abstract

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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.

Keywords

57M25Alexander idealbranched coveringDedekind domainknotlink
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 309 - 315
Copyright
Copyright © Canadian Mathematical Society 1997

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