Exponential growth of torsion in abelian coverings
type: Item
instance of: scholarly article
title: Exponential growth of torsion in abelian coverings
zbMATH Open document ID: 1250.57004
author: Jean Raimbault
published in: Algebraic \& Geometric Topology
publication date: 2012-08-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1012.3666
review text: The author extends a theorem of Silver and Williams and proves that the order of torsion subgroups of the first homology group of finite abelian coverings of a link has exponential growth assuming that the first nonzero Alexander polynomial of the link has positive logarithmic Mahler measure. More general results of this type were recently published by Thang Le [``Homology torsion growth and Mahler measure'', \url{arXiv:1010.4199}].
Mathematics Subject Classification ID: 57M10
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57Q10
zbMATH DE Number: 6068600
zbMATH Keywords: torsion
zbMATH Keywords: abelian coverings
zbMATH Keywords: Mahler measure
reviewed by: Michael Farber
MaRDI profile type: Publication
OpenAlex ID: W1978862460
arXiv ID: 1012.3666
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DOI: 10.2140/AGT.2012.12.1331
description: scientific article; zbMATH DE number 6068600