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Compact totally disconnected Moufang buildings

(2012) TOHOKU MATHEMATICAL JOURNAL. 64(3). p.333-360
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Abstract
Let 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 Delta can be given the structure of a topological building that is compact and totally disconnected precisely when Delta is the building at infinity of a locally finite affine building.
Keywords
compact building, Moufang property, locally compact group, CONNECTED POLYGONS, PLANES

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Citation

Please use this url to cite or link to this publication:

Chicago
Grundhöfer, Theo, Linus Kramer, Hendrik Van Maldeghem, and Richard M Weiss. 2012. “Compact Totally Disconnected Moufang Buildings.” Tohoku Mathematical Journal 64 (3): 333–360.
APA
Grundhöfer, T., Kramer, L., Van Maldeghem, H., & Weiss, R. M. (2012). Compact totally disconnected Moufang buildings. TOHOKU MATHEMATICAL JOURNAL, 64(3), 333–360.
Vancouver
1.
Grundhöfer T, Kramer L, Van Maldeghem H, Weiss RM. Compact totally disconnected Moufang buildings. TOHOKU MATHEMATICAL JOURNAL. 2012;64(3):333–60.
MLA
Grundhöfer, Theo, Linus Kramer, Hendrik Van Maldeghem, et al. “Compact Totally Disconnected Moufang Buildings.” TOHOKU MATHEMATICAL JOURNAL 64.3 (2012): 333–360. Print.
@article{3132668,
  abstract     = {Let 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 Delta can be given the structure of a topological building that is compact and totally disconnected precisely when Delta is the building at infinity of a locally finite affine building.},
  author       = {Grundh{\"o}fer, Theo and Kramer, Linus and Van Maldeghem, Hendrik and Weiss, Richard M},
  issn         = {0040-8735},
  journal      = {TOHOKU MATHEMATICAL JOURNAL},
  keyword      = {compact building,Moufang property,locally compact group,CONNECTED POLYGONS,PLANES},
  language     = {eng},
  number       = {3},
  pages        = {333--360},
  title        = {Compact totally disconnected Moufang buildings},
  volume       = {64},
  year         = {2012},
}

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