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We provide an explicit presentation of an infinite hyperbolic Kazhdan groupwith $4$ generators and $16$ relators of length at most $73$. That group actsproperly and cocompactly on a hyperbolic triangle building of type $(3,4,4)$.We also point out a variation of the construction that yields examples oflattices in $\tilde A_2$-buildings admitting non-Desarguesian residues ofarbitrary prime power order.

A sixteen-relator presentation of an infinite hyperbolic Kazhdan group