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Characterizations by automorphism groups of some rank 3 buildings, III : Moufang-like conditions

Kristel Van Steen (UGent)
(1999) GEOMETRIAE DEDICATA. 74(3). p.225-240
Author
Organization
Abstract
In this paper, we introduce the root-Moufang condition and the p-adic Moufang condition. We show that affine buildings of type (A) over tilde(2) satisfying the root-Moufang condition are Bruhat-Tits buildings. Also, every rank 3 affine building satisfying the p-adic Moufang condition is a Bruhat-Tits building. We motivate the introduction of the new conditions by showing that all Bruhat-Tits (A) over tilde(2)-buildings satisfy the root-Moufang condition, and that the (A) over tilde(2)-buildings over a p-adic field also satisfy the p-adic Moufang condition. Another application of the p-adic Moufang condition is given in Part IV of this paper.
Keywords
Moufang condition, p-adic affine building, Bruhat-Tits building, Hjelmslev plane

Citation

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

MLA
Van Steen, Kristel. “Characterizations by Automorphism Groups of Some Rank 3 Buildings, III : Moufang-like Conditions.” GEOMETRIAE DEDICATA, vol. 74, no. 3, 1999, pp. 225–40, doi:10.1023/A:1005005214943.
APA
Van Steen, K. (1999). Characterizations by automorphism groups of some rank 3 buildings, III : Moufang-like conditions. GEOMETRIAE DEDICATA, 74(3), 225–240. https://doi.org/10.1023/A:1005005214943
Chicago author-date
Van Steen, Kristel. 1999. “Characterizations by Automorphism Groups of Some Rank 3 Buildings, III : Moufang-like Conditions.” GEOMETRIAE DEDICATA 74 (3): 225–40. https://doi.org/10.1023/A:1005005214943.
Chicago author-date (all authors)
Van Steen, Kristel. 1999. “Characterizations by Automorphism Groups of Some Rank 3 Buildings, III : Moufang-like Conditions.” GEOMETRIAE DEDICATA 74 (3): 225–240. doi:10.1023/A:1005005214943.
Vancouver
1.
Van Steen K. Characterizations by automorphism groups of some rank 3 buildings, III : Moufang-like conditions. GEOMETRIAE DEDICATA. 1999;74(3):225–40.
IEEE
[1]
K. Van Steen, “Characterizations by automorphism groups of some rank 3 buildings, III : Moufang-like conditions,” GEOMETRIAE DEDICATA, vol. 74, no. 3, pp. 225–240, 1999.
@article{173492,
  abstract     = {{In this paper, we introduce the root-Moufang condition and the p-adic Moufang condition. We show that affine buildings of type (A) over tilde(2) satisfying the root-Moufang condition are Bruhat-Tits buildings. Also, every rank 3 affine building satisfying the p-adic Moufang condition is a Bruhat-Tits building. We motivate the introduction of the new conditions by showing that all Bruhat-Tits (A) over tilde(2)-buildings satisfy the root-Moufang condition, and that the (A) over tilde(2)-buildings over a p-adic field also satisfy the p-adic Moufang condition. Another application of the p-adic Moufang condition is given in Part IV of this paper.}},
  author       = {{Van Steen, Kristel}},
  issn         = {{0046-5755}},
  journal      = {{GEOMETRIAE DEDICATA}},
  keywords     = {{Moufang condition,p-adic affine building,Bruhat-Tits building,Hjelmslev plane}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{225--240}},
  title        = {{Characterizations by automorphism groups of some rank 3 buildings, III : Moufang-like conditions}},
  url          = {{http://doi.org/10.1023/A:1005005214943}},
  volume       = {{74}},
  year         = {{1999}},
}
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