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Characterizations by automorphism groups of some rank 3 buildings, III. Moufang-like conditions
Van Steen, Kristel
1999In Geometriae Dedicata, 74 (3), p. 225-240
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Keywords :
Moufang condition; p-adic affine building; Bruhat-Tits building; Hjelmslev plane
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Van Steen, Kristel  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Bioinformatique
Language :
English
Title :
Characterizations by automorphism groups of some rank 3 buildings, III. Moufang-like conditions
Publication date :
1999
Journal title :
Geometriae Dedicata
ISSN :
0046-5755
eISSN :
1572-9168
Publisher :
Kluwer Academic Publ, Dordrecht, Netherlands
Volume :
74
Issue :
3
Pages :
225-240
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 22 May 2010

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