Splittings of triangle Artin groups

IF 0.6 3区数学 Q3 MATHEMATICS Groups Geometry and Dynamics Pub Date : 2023-10-15 DOI:10.4171/ggd/740

Kasia Jankiewicz

引用次数: 0

Abstract

We show that a triangle Artin group $\mathrm{Art}\_{MNP}$, where $M\leq N\leq P$, splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either $M>2$ or $N>3$. We also prove that all even 3-generator Artin groups are residually finite.

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三角形Artin群体的分裂

我们证明了一个三角形Artin群$\mathrm{Art}\_{MNP}$，其中$M\leq N\leq P$分裂为有限秩自由群的合并积或HNN扩展，只要$M>2$或$N>3$。我们还证明了所有的偶3元Artin群都是剩余有限的。

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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来源期刊

Groups Geometry and Dynamics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Groups, Geometry, and Dynamics is devoted to publication of research articles that focus on groups or group actions as well as articles in other areas of mathematics in which groups or group actions are used as a main tool. The journal covers all topics of modern group theory with preference given to geometric, asymptotic and combinatorial group theory, dynamics of group actions, probabilistic and analytical methods, interaction with ergodic theory and operator algebras, and other related fields. Topics covered include: geometric group theory; asymptotic group theory; combinatorial group theory; probabilities on groups; computational aspects and complexity; harmonic and functional analysis on groups, free probability; ergodic theory of group actions; cohomology of groups and exotic cohomologies; groups and low-dimensional topology; group actions on trees, buildings, rooted trees.

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