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Capdeboscq, Inna (Korchagina) and Rumynin, Dmitriy (2020) Kac-Moody groups and completions. Journal of Algebra, 561 . pp. 131-148. doi:10.1016/j.jalgebra.2020.02.026
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WRAP-Kac-Moody-Group-Rumynin-2020.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only until 31 March 2021. Contact author directly, specifying your specific needs. - Requires a PDF viewer. Download (416Kb) |
Official URL: https://doi.org/10.1016/j.jalgebra.2020.02.026
Abstract
In this paper we construct a new "pro-p-complete" topological Kac-Moody group and compare it to various known topological Kac-Moody groups. We come across this group by investigating the process of completion of groups with BN-pairs. We would like to know whether the completion of such a group admits a BN-pair. We give explicit criteria for this to happen.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Kac-Moody algebras, Lie groups, Linear algebraic groups, Buildings (Group theory) | |||||||||
| Journal or Publication Title: | Journal of Algebra | |||||||||
| Publisher: | Academic Press Inc Elsevier Science | |||||||||
| ISSN: | 0021-8693 | |||||||||
| Official Date: | 1 November 2020 | |||||||||
| Dates: |
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| Date of first compliant deposit: | 25 March 2020 | |||||||||
| Volume: | 561 | |||||||||
| Page Range: | pp. 131-148 | |||||||||
| DOI: | 10.1016/j.jalgebra.2020.02.026 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
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