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Journal Article

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

MPS-Authors
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Rumynin,  D. A.
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1070/SM9311
(Publisher version)

Fulltext (public)

arXiv:1807.07929.pdf
(Preprint), 226KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/21.11116/0000-0007-8171-7
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.