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arXiv · 1708.09772

A sixteen-relator presentation of an infinite hyperbolic Kazhdan group

Pierre-Emmanuel Caprace
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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 $\tilde A_2$-buildings admitting non-Desarguesian residues of arbitrary prime power order.

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Pierre-Emmanuel Caprace. 2017-08-31. A sixteen-relator presentation of an infinite hyperbolic Kazhdan group. https://arxiv.org/abs/1708.09772

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