封闭子群商的增长紧密性

arXiv - MATH - Group Theory Pub Date : 2024-09-16 DOI:arxiv-2409.10268

Lihuang Ding, Wenyuan Yang

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摘要

在本文中，我们建立了在接纳具有收缩元素的统计凸协整作用的群中，由限定子群构成的商的增长紧密性。这一结果是尖锐的，因为这些作用不能以纯指数增长的方式放松。此外，还讨论了均匀递归子群的应用。

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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Growth tightness of quotients by confined subgroups

In this paper, we establish the growth tightness of the quotient by confined subgroups in groups admitting the statistically convex-cocompact action with contracting elements. The result is sharp in the sense that the actions could not be relaxed with purely exponential growth. Applications to uniformly recurrent subgroups are discussed.

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arXiv - MATH - Group Theory

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