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On some pro-p groups from infinite-dimensional Lie theory
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Capdeboscq, Inna (Korchagina) and Remy, Bertrand (2014) On some pro-p groups from infinite-dimensional Lie theory. Mathematische Zeitschrift, 278 (2014) (1-2). pp. 39-54. doi:10.1007/s00209-014-1304-8 ISSN 0025-5874.
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WRAP-some-pro-p-groups-infinite-dimensional-Lie-theory-Capdeboscq-2014.pdf - Accepted Version - Requires a PDF viewer. Download (738Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00209-014-1304-8
Abstract
We study some pro-p-groups arising from infinite-dimensional Lie theory. The starting point is incomplete Kac–Moody groups over finite fields. There are various completion procedures always providing locally pro-p groups. We show topological finite generation for their pro-p Sylow subgroups in most cases, whatever the (algebraic, geometric or representation-theoretic) completion. This implies abstract simplicity for complete Kac–Moody groups and provides identifications of the pro-p groups obtained from the same incomplete group. We also discuss the question of (non-)linearity of these pro-p groups.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Kac-Moody algebras, Root systems (Algebra), Nilpotent groups, p-adic groups | ||||||
| Journal or Publication Title: | Mathematische Zeitschrift | ||||||
| Publisher: | Springer | ||||||
| ISSN: | 0025-5874 | ||||||
| Official Date: | 27 April 2014 | ||||||
| Dates: |
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| Volume: | 278 (2014) | ||||||
| Number: | 1-2 | ||||||
| Page Range: | pp. 39-54 | ||||||
| DOI: | 10.1007/s00209-014-1304-8 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Mathematische Zeitschrift. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00209-014-1304-8 | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 1 October 2020 | ||||||
| Date of first compliant Open Access: | 2 October 2020 |
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