具有无平方阶循环全局群的紧凑平坦流形基群的无穷属

IF 1 3区数学 Q1 MATHEMATICS

Forum Mathematicum Pub Date : 2024-01-31 DOI:10.1515/forum-2021-0298

Genildo de Jesus Nery

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引用次数: 0

摘要

本文研究了具有无平方阶循环全局群的 n 维紧凑平面流形在多大程度上可以通过其基群的有限商来区分。特别是，我们展示了一个具有无平方阶循环全局群的 n 维紧凑平面流形的基群无穷属的心数公式。

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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Profinite genus of fundamental groups of compact flat manifolds with the cyclic holonomy group of square-free order

In this article, we study the extent to which an n-dimensional compact flat manifold with the cyclic holonomy group of square-free order may be distinguished by the finite quotients of its fundamental group. In particular, we display a formula for the cardinality of profinite genus of the fundamental group of an n-dimensional compact flat manifold with the cyclic holonomy group of square-free order.

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来源期刊

Forum Mathematicum 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.