Moufang affine buildings have Moufang spherical buildings at infinity

Author:

van Maldeghem H.,van Steen K.

Abstract

AbstractWe show in a direct and elementary way that the spherical building at infinity of every rank 3 affine building which satisfies Tits' Moufang condition, is itself a Moufang building. This result is also true for higher rank affine buildings by Tits' classification [4].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Moufang quadrangles and affine twin buildings of type C2;Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial;2023-09-13

2. Affine twin R-buildings;Discrete Mathematics;2010-11

3. Buildings;Graduate Texts in Mathematics;2008

4. Characterizations by automorphism groups of some rank 3 buildings, III. Moufang-like conditions;Geometriae Dedicata;1999

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