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arXiv 1012.3666math.GT
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阿贝尔覆盖中挠率的指数增长性

Exponential growth of torsion in Abelian coverings

Jean Raimbault

摘要:

研究了有限阿贝尔覆盖塔中同调扭子群阶的增长性。特别地,当第一个非零的Alexander多项式具有正对数Mahler测度时,证明了当塔收敛于链补的最大自由阿贝尔覆盖时,它是指数的.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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