自由副环基团的扩链和l2扭转

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2021-07-20 DOI:10.1142/s1793525323500036

Matt Clay

引用次数: 2

摘要

我们引入了关于自由环群Gφ的单态的一个条件，称为链耀斑条件，它意味着l -扭转ρ(Gφ)不为零。我们推测，只要一项呈指数增长，这个条件就成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Chain flaring and L2-torsion of free-by-cyclic groups

We introduce a condition on the monodromy of a free-by-cyclic group, Gφ, called the chain flare condition, that implies that the L–torsion, ρ(Gφ), is non-zero. We conjecture that this condition holds whenever the monodromy is exponentially growing.

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.