Groups Geometry and Dynamics最新文献

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A property of closed geodesics on hyperbolic surfaces 双曲曲面上封闭测地线的一个性质
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2023-01-26 DOI: 10.4171/ggd/699
Max Neumann-Coto, Peter Scott
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引用次数: 0
Dynamics of actions of automorphisms of discrete groups $G$ on $mathrm{Sub}_G$ and applications to lattices in Lie groups 离散群$G$对$ mathm {Sub}_G$的自同构作用动力学及其在李群格上的应用
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2023-01-13 DOI: 10.4171/ggd/672
Rajdip Palit, Manoj B. Prajapati, R. Shah
{"title":"Dynamics of actions of automorphisms of discrete groups $G$ on $mathrm{Sub}_G$ and applications to lattices in Lie groups","authors":"Rajdip Palit, Manoj B. Prajapati, R. Shah","doi":"10.4171/ggd/672","DOIUrl":"https://doi.org/10.4171/ggd/672","url":null,"abstract":"","PeriodicalId":55084,"journal":{"name":"Groups Geometry and Dynamics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48120906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Bieri–Neumann–Strebel–Renz invariants of the weak commutativity construction $mathfrak{X}(G)$ 弱交换性构造$mathfrak{X}(G)$的Bieri-Neumann-Strebel-Renz不变量
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2022-12-14 DOI: 10.4171/ggd/680
D. Kochloukova
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引用次数: 0
A description of $operatorname{Aut}(dV_n)$ and $operatorname{Out}(dV_n)$ using transducers $operatorname{Aut}(dV_n)$和$operator name{Out}(d V_n)$using transducers的描述
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2022-12-08 DOI: 10.4171/ggd/697
L. Elliott
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引用次数: 0
Ergodicity of the mapping class group action on Deroin–Tholozan representations 映射类群作用在Deroin-Tholozan表示上的遍历性
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2022-11-10 DOI: 10.4171/ggd/695
Arnaud Maret
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引用次数: 0
Two generalisations of Leighton’s theorem (with an appendix by Giles Gardam and Daniel J. Woodhouse) 雷顿定理的两个推广(附Giles Gardam和Daniel J.Woodhouse的附录)
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2022-10-11 DOI: 10.4171/ggd/682
Sam Shepherd
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引用次数: 1
Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo) 具有几乎有限表示子群的双曲群(附Robert Kropholler和Federico Vigolo的附录)
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2022-05-13 DOI: 10.4171/ggd/644
P. Kropholler
{"title":"Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo)","authors":"P. Kropholler","doi":"10.4171/ggd/644","DOIUrl":"https://doi.org/10.4171/ggd/644","url":null,"abstract":"","PeriodicalId":55084,"journal":{"name":"Groups Geometry and Dynamics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48465052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Cubulation of some triangle-free Artin groups 一些无三角形Artin群的培养
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2022-03-14 DOI: 10.4171/ggd/648
T. Haettel
{"title":"Cubulation of some triangle-free Artin groups","authors":"T. Haettel","doi":"10.4171/ggd/648","DOIUrl":"https://doi.org/10.4171/ggd/648","url":null,"abstract":"","PeriodicalId":55084,"journal":{"name":"Groups Geometry and Dynamics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47934106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Isolated circular orders of PSL(2,$mathbb{Z}$) PSL(2,$mathbb{Z}$)的孤立圆阶
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2021-12-06 DOI: 10.4171/ggd/635
S. Matsumoto
{"title":"Isolated circular orders of PSL(2,$mathbb{Z}$)","authors":"S. Matsumoto","doi":"10.4171/ggd/635","DOIUrl":"https://doi.org/10.4171/ggd/635","url":null,"abstract":"","PeriodicalId":55084,"journal":{"name":"Groups Geometry and Dynamics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42363845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cantor dynamics of renormalizable groups 可重整群的康托动力学
IF 0.6 3区 数学
Groups Geometry and Dynamics Pub Date : 2021-12-06 DOI: 10.4171/ggd/636
Steven Hurder, Olga Lukina, Wouter van Limbeek
{"title":"Cantor dynamics of renormalizable groups","authors":"Steven Hurder, Olga Lukina, Wouter van Limbeek","doi":"10.4171/ggd/636","DOIUrl":"https://doi.org/10.4171/ggd/636","url":null,"abstract":"A group $Gamma$ is said to be “finitely non-co-Hopfian,” or “renormalizable,” if there exists a self-embedding $varphi colon Gamma to Gamma$ whose image is a proper subgroup of finite index. Such a proper self-embedding is called a “renormalization for $Gamma$.” In this work, we associate a dynamical system to a renormalization $varphi$ of $Gamma$. The discriminant invariant ${mathcal D}_{varphi}$ of the associated Cantor dynamical system is a profinite group which is a measure of the asymmetries of the dynamical system. If ${mathcal D}_{varphi}$ is a finite group for some renormalization, we show that $Gamma/C_{varphi}$ is virtually nilpotent, where $C_{varphi}$ is the kernel of the action map. We introduce the notion of a (virtually) renormalizable Cantor action, and show that the action associated to a renormalizable group is virtually renormalizable. We study the properties of virtually renormalizable Cantor actions, and show that virtual renormalizability is an invariant of continuous orbit equivalence. Moreover, the discriminant invariant of a renormalizable Cantor action is an invariant of continuous orbit equivalence. Finally, the notion of a renormalizable Cantor action is related to the notion of a self-replicating group of automorphisms of a rooted tree.","PeriodicalId":55084,"journal":{"name":"Groups Geometry and Dynamics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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