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Property (T) for groups acting on affine buildings

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arxiv 2410.05716 v1 pith:56LSJ3KT submitted 2024-10-08 math.GR

Izhar Oppenheim This is my paper · ORCID
classification math.GR
keywords actingpropertyaffinegroupsbuildingbuildingscomplexescriterion
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We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-residually finite $\tilde{C}_2$-lattices

    math.GR 2025-09 conditional novelty 8.0 of 10

    First examples of non-residually finite lattices on irreducible buildings, constructed explicitly as fundamental groups of five ~C2 triangle complexes.

  2. On Chamber-regular $\tilde C_2$-Lattices

    math.GR 2025-11 conditional novelty 7.0 of 10

    There are exactly 3044 chamber-regular lattices (up to isomorphism) on ~C2-buildings whose special-vertex links are the unique generalized quadrangle of order (3,5); assuming Kantor's conjecture, these are all such lattices.

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