A sixteen-relator presentation of an infinite hyperbolic Kazhdan group
(2018) Journal of the European Mathematical Society — Vol. 64, n° 3-4, p. 265-282 (2018)
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- Abstract
- We provide an explicit presentation of an infinite hyperbolic Kazhdan group with 4 generators and 16 relators of length at most 73. That group acts properly and cocompactly on a hyperbolic triangle building of type (3,4,4). We also point out a variation of the construction that yields examples of lattices in A~2-buildings admitting non-Desarguesian residues of arbitrary prime power order.
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Citations
Caprace, P.-E. (2018). A sixteen-relator presentation of an infinite hyperbolic Kazhdan group. Journal of the European Mathematical Society, 64(3-4), 265-282. https://doi.org/10.4171/LEDM/64-3/4-2 (Original work published 2018)