Geodesic
Moufang affine buildings have Moufang spherical buildings at infinity
Glasgow mathematical journal, Tome 39 (1997) no. 3, pp. 237-241

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We 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]. 
Maldeghem, H. van. Moufang affine buildings have Moufang spherical buildings at infinity. Glasgow mathematical journal, Tome 39 (1997) no. 3, pp. 237-241. doi: 10.1017/S001708950003216X
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[1] 1.Ronan, M. A., Lectures on Buildings, Perspectives in Mathematics 7 (Academic Press, London 1989). Google Scholar

[2] 2.Tits, J., Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics 386 (Springer-Verlag, 1974). Google Scholar

[3] 3.Tits, J., Classification of buildings of spherical type and Moufang polygons: a survey, Atti dei Convegni Lincei 17 (1976) 229–246. Google Scholar

[4] 4.Tits, J., Immeubles de type affine, in Buildings and the Geometry of Diagrams, Como 1984, Lecture Notes in Mathematics 1181 (Springer-Verlag, 1986), 159–190. Google Scholar | DOI

[5] 5.Tits, J., Uniqueness and presentation of Kac-Moody groups over fields, J. Algebra 105 (1987), 542–573. Google Scholar | DOI

[6] 6.Maldeghem, H. Van, On projective Hjelmslev-planes of level n, Glasgow Math. J. 31 (1989), 257–261. Google Scholar

[7] 7.Maldeghem, H. Van, Generalized polygons with valuation, Arch. Math. 53 (1989), 513–520. Google Scholar | DOI

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