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Moufang affine buildings have Moufang spherical buildings at infinity

Published online by Cambridge University Press:  18 May 2009

H. van Maldeghem and
K. van Steen
H. van Maldeghem
Affiliation:
Department of Pure Mathematics and Computer Algebra, University of Ghent, Galglaan 2, B-3000 Gent, Belgium
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Abstract

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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].

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 3 , September 1997, pp. 237 - 241
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

REFERENCES

1.Ronan, M. A., Lectures on Buildings, Perspectives in Mathematics 7 (Academic Press, London 1989).Google Scholar
2.Tits, J., Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics 386 (Springer-Verlag, 1974).Google Scholar
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.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.CrossRefGoogle Scholar
5.Tits, J., Uniqueness and presentation of Kac-Moody groups over fields, J. Algebra 105 (1987), 542–573.CrossRefGoogle Scholar
6.Maldeghem, H. Van, On projective Hjelmslev-planes of level n, Glasgow Math. J. 31 (1989), 257–261.Google Scholar
7.Maldeghem, H. Van, Generalized polygons with valuation, Arch. Math. 53 (1989), 513–520.CrossRefGoogle Scholar