Groups acting on CAT(0) cube complexes

Article, Preprint, Other literature type English OPEN
Niblo, Graham A; Reeves, Lawrence;
  • Publisher: MSP
  • Journal: issn: 1465-3060
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.2140/gt.1997.1.1
  • Subject: 20F32 | 20G20 | Kazhdan's property (T) | 20E42 | hyperbolic geometry | 20F32, 20E42, 20G20 | CAT(0) cube complexes | locally CAT(-1) spaces | Mathematics - Group Theory | $Sp(n,1)$–manifolds | Tits' buildings | Mathematics - Differential Geometry

We show that groups satisfying Kazhdan’s property [math] have no unbounded actions on finite dimensional [math] cube complexes, and deduce that there is a locally [math] Riemannian manifold which is not homotopy equivalent to any finite dimensional, locally [math] cube ... View more
  • References (8)

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    [7] G A Niblo, L D Reeves, Coxeter groups act on CAT( 0 ) cube complexes, preprint

    [8] M Sageev, Ends of group pairs and non-positively curved cube complexes, Proc. London Maths. Soc. (3) 71 (1995) 585-617

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