Exponential growth of torsion in Abelian coverings

Jean Raimbault

doi:10.2140/agt.2012.12.1331

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arXiv · 1012.3666

Exponential growth of torsion in Abelian coverings

Jean Raimbault

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Abstract

We study the growth of the order of torsion subgroups of the homology in a tower of finite abelian coverings. In particular, we prove that it is exponential for when the tower converges to the maximal free abelian cover of a link complement when the first nonzero Alexander polynomial has positive logarithmic Mahler measure.

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Jean Raimbault. 2012-04-05. Exponential growth of torsion in Abelian coverings. https://doi.org/10.2140/agt.2012.12.1331

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