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Cocompact lattices in locally pro-p-complete rank 2 Kac-Moody groups

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Capdeboscq, Inna (Korchagina), Hristova, Katerina and Rumynin, Dmitriy (2020) Cocompact lattices in locally pro-p-complete rank 2 Kac-Moody groups. Matematicheskii Sbornik, 211 (8). pp. 3-19. doi:10.1070/SM9311

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Official URL: https://doi.org/10.1070/SM9311

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Abstract

Lattices are investigated in a new class of locally compact groups, namely in locallyp-complete Kac – Moody groups. It is found that in the case of rank 2 cocompact lattices behave especially well: under small constraints, a cocompact lattice in such a completion has no elements of orderp... This statement is an open conjecture for Capras – Remy – Ronan completions. Using this statement and the results of I. Capdebosk and A. Thomas, cocompact lattices that are transitive on edges are classified, and a cocompact lattice of minimal covolume is described.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Kac-Moody algebras, Lattice theory, Compact groups
Journal or Publication Title: Matematicheskii Sbornik
Publisher: Steklov Mathematical Institute of Russian Academy of Sciences
ISSN: 0368-8666
Official Date: 2020
Dates:
DateEvent
2020Published
15 April 2020Accepted
Date of first compliant deposit: 24 April 2020
Volume: 211
Number: 8
Page Range: pp. 3-19
DOI: 10.1070/SM9311
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: `This is a preprint of the Article accepted for publication in Matematicheskii Sbornik 211(8). 2020. All distribution rights are owned by Steklov Mathematical Institute of Russian Academy of Sciences)’
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDMinistry of Science and Higher Education of the Russian FederationUNSPECIFIED
UNSPECIFIEDMax-Planck-Gesellschafthttp://dx.doi.org/10.13039/501100004189
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