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

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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
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	14 Nov 2020 01:17
Last Modified:	14 May 2023 00:41
URI:	https://ueaeprints.uea.ac.uk/id/eprint/77700
DOI:	10.1070/SM9311

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