English

Compact Totally Disconnected Moufang Buildings

Group Theory 2011-08-09 v5 Metric Geometry

Abstract

Let Δ\Delta be a spherical building each of whose irreducible components is infinite, has rank at least 2 and satisfies the Moufang condition. We show that Δ\Delta can be given the structure of a topological building that is compact and totally disconnected precisely when Δ\Delta is the building at infinity of a locally finite affine building.

Keywords

Cite

@article{arxiv.1008.5134,
  title  = {Compact Totally Disconnected Moufang Buildings},
  author = {Theo Grundhofer and Linus Kramer and Hendrik Van Maldeghem and Richard M. Weiss},
  journal= {arXiv preprint arXiv:1008.5134},
  year   = {2011}
}

Comments

To appear in Tohoku Math. Journal

R2 v1 2026-06-21T16:07:02.766Z