有循环边群的群的无参数图

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-26 DOI:10.1112/jlms.12937

Andrei Jaikin-Zapirain, Ismael Morales

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引用次数: 0

摘要

我们建立了无准星群的组合定理。这些群是鲍姆斯拉格（Baumslag）在六十年代引入的。目前更好地理解它们的结构的动机之一是，它们与雷梅斯连尼科夫（Remeslennikov）关于自由群的无限刚度猜想自然地联系在一起。在本文中，我们将确定具有循环边群的有限群图的基群何时是无旁系的。

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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Parafree graphs of groups with cyclic edge groups

We establish a combination theorem for parafree groups. These groups were introduced by Baumslag in the sixties. One of the current motivations for a better understanding of their structure is that they show up naturally in connection with Remeslennikov's conjecture on the profinite rigidity of free groups. In this article, we determine when the fundamental group of a finite graph of groups with cyclic edge groups is parafree.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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