Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups

[1001.5371] Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups Skip to main content Search Submit Donate Log in Mathematics > Group Theory arXiv:1001.5371 (math) [Submitted on 29 Jan 2010 ( v1 ), last revised 30 Jan 2010 (this version, v2)] Title: Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups Authors: Luc Guyot , Yves Stalder View PDF HTML (experimental) Abstract: We prove that the limits of Baumslag-Solitar groups which we previously studied are non-linear hopfian C*-simple groups with infinitely many twisted conjugacy classes. We exhibit infinite presentations for these groups, classify them up to group isomorphism, describe their automorphisms and discuss the word and conjugacy problems. Finally, we prove that the set of these groups has non-zero Hausforff dimension in the space of marked groups on two generators. Comments: 30 pages, no figures, english Subjects: Group Theory (math.GR) MSC classes: Primary 20E05, 20E08, 20F10, 20F05 Cite as: arXiv:1001.5371 [math.GR] (or arXiv:1001.5371v2 [math.GR] for this version) https://doi.org/10.48550/arXiv.1001.5371 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Groups, Geometry, and Dynamics, 2012, 6 (2), pp.533-577 Related DOI : https://doi.org/10.4171/GGD/165 Focus to learn more DOI(s) linking to related resources Submission history From: Luc Guyot [ view email ] [v1] Fri, 29 Jan 2010 10:08:28 UTC (44 KB) [v2] Sat, 30 Jan 2010 20:04:30 UTC (44 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: math.GR < prev | next > new | recent | 2010-01 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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