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

Capdeboscq, I., Hristova, K. and Rumynin, D. A. (2020) Cocompact lattices in locally pro-p-complete rank-2 Kac-Moody groups. Sbornik Mathematics, 211 (8). pp. 1065-1079. ISSN 1064-5616

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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-Rémy-Ronan completion. Using this, modulo results of Capdeboscq and Thomas, we classify edge-transitive cocompact lattices and describe a cocompact lattice of minimal covolume. Bibliography: 22 titles.

Item Type: Article
Uncontrolled Keywords: algebra and number theory ,/dk/atira/pure/subjectarea/asjc/2600/2602
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 14 Nov 2020 01:17
Last Modified: 15 Nov 2020 01:08
URI: https://ueaeprints.uea.ac.uk/id/eprint/77700
DOI: 10.1070/SM9311

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