Expansion of building-like complexes

  • Alexander Lubotzky

    Hebrew University, Jerusalem, Israel
  • Roy Meshulam

    Technion - Israel Institute of Technology, Haifa, Israel
  • Shahar Mozes

    Hebrew University, Jerusalem, Israel

Abstract

Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any , there exists a constant such that for any the -th coboundary expansion constant of any -dimensional spherical building is at least .

Cite this article

Alexander Lubotzky, Roy Meshulam, Shahar Mozes, Expansion of building-like complexes. Groups Geom. Dyn. 10 (2016), no. 1, pp. 155–175

DOI 10.4171/GGD/346