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

Capdeboscq, I., Hristova, K., & Rumynin, D. A. (2020). Cocompact lattices in locally pro-p-complete rank 2 Kac-Moody groups. Sbornik. Mathematics, 211(8), 1065-1079. doi:10.1070/SM9311.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-8171-7 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-8172-6
Genre: Journal Article
Latex : Cocompact lattices in locally pro-$p$-complete rank 2 Kac-Moody groups

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 Creators:
Capdeboscq, I., Author
Hristova, K., Author
Rumynin, D. A.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Group Theory, Representation Theory
 Abstract: We initiate an investigation of lattices in a new class of locally compact
groups, so called locally pro-$p$-complete Kac-Moody groups. We discover that
in rank 2 their cocompact lattices are particularly well-behaved: under mild
assumptions, a cocompact lattice in this completion contains no elements of
order $p$. This statement is still an open question for the
Caprace-R\'emy-Ronan completion. Using this, modulo results of Capdeboscq and
Thomas, we classify edge-transitive cocompact lattices and describe a cocompact
lattice of minimal covolume.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 15
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1807.07929
DOI: 10.1070/SM9311
 Degree: -

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Title: Sbornik. Mathematics
  Abbreviation : Sb. Math.
Source Genre: Journal
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Publ. Info: Institute of Physics Publishing (IOP)
Pages: - Volume / Issue: 211 (8) Sequence Number: - Start / End Page: 1065 - 1079 Identifier: -