Amalgams of rational unipotent groups and residual nilpotence

[2402.14507] Amalgams of rational unipotent groups and residual nilpotence Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Group Theory arXiv:2402.14507 (math) [Submitted on 22 Feb 2024] Title: Amalgams of rational unipotent groups and residual nilpotence Authors: Pierre-Emmanuel Caprace , Timothée Marquis View a PDF of the paper titled Amalgams of rational unipotent groups and residual nilpotence, by Pierre-Emmanuel Caprace and Timoth\'ee Marquis View PDF HTML (experimental) Abstract: We provide sufficient conditions for a free amalgamated product of torsionfree nilpotent groups to be residually nilpotent. We also characterise the residual nilpotence of certain higher-dimensional amalgams of unipotent groups over the rationals (known as KMS groups) in terms of their defining Cartan matrix. As an application, we give a normal form for the elements of a minimal Kac-Moody group over the rationals. Comments: 24 pages Subjects: Group Theory (math.GR) MSC classes: 20E06, 20E26, 20F14, 20F65, 20F67, 20G44 Cite as: arXiv:2402.14507 [math.GR] (or arXiv:2402.14507v1 [math.GR] for this version) https://doi.org/10.48550/arXiv.2402.14507 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.4171/JCA/126 Focus to learn more DOI(s) linking to related resources Submission history From: Timothée Marquis [ view email ] [v1] Thu, 22 Feb 2024 12:55:50 UTC (23 KB) Full-text links: Access Paper: View a PDF of the paper titled Amalgams of rational unipotent groups and residual nilpotence, by Pierre-Emmanuel Caprace and Timoth\'ee Marquis View PDF HTML (experimental) TeX Source view license Current browse context: math.GR < prev | next > new | recent | 2024-02 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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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