Girth Alternative for subgroups of

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2024-05-09 DOI:10.1017/s0017089524000181

Azer Akhmedov

引用次数: 0

Abstract

We prove the Girth Alternative for finitely generated subgroups of

$PL_o(I)$

. We also prove that a finitely generated subgroup of Homeo

$_{+}(I)$

which is sufficiently rich with hyperbolic-like elements has infinite girth.

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(1)、(2)、(3)和(4)

我们证明了$PL_o(I)$ 的有限生成子群的周长备选方案。我们还证明了有足够多双曲元素的有限生成的Homeo $_{+}(I)$子群具有无限周长。

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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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.