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A sixteen-relator presentation of an infinite hyperbolic Kazhdan group

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 نشر من قبل Pierre-Emmanuel Caprace
 تاريخ النشر 2017
  مجال البحث
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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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