A sixteen-relator presentation of an infinite hyperbolic Kazhdan group (Q2327744)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sixteen-relator presentation of an infinite hyperbolic Kazhdan group |
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A sixteen-relator presentation of an infinite hyperbolic Kazhdan group (English)
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15 October 2019
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Summary: 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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hyperbolic group
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finitely presented group
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Kazhdan's property (T)
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building
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