免费产品从纺纱和旋转家庭

L’Enseignement Mathématique Pub Date : 2020-10-21 DOI:10.4171/lem/1033

M. Bestvina, Ryan Dickmann, G. Domat, Sanghoon Kwak, Priyam Patel, Emily Stark

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引用次数: 4

摘要

Dahmani-Guirardel-Osin的影响深远的工作和Clay-Mangahas-Margalit最近的工作为研究环境群$G$中的子群(或子群集合)的正规闭包提供了几何方法。他们的工作给出了$G$中的正常闭包是自由产物的条件。本文将他们的结果统一起来，简化并显著缩短了他们的证明。

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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Free products from spinning and rotating families

The far-reaching work of Dahmani-Guirardel-Osin and recent work of Clay-Mangahas-Margalit provide geometric approaches to the study of the normal closure of a subgroup (or a collection of subgroups)in an ambient group $G$. Their work gives conditions under which the normal closure in $G$ is a free product. In this paper we unify their results and simplify and significantly shorten their proofs.

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来源期刊

L’Enseignement Mathématique

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