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On projective Hjelmslev planes of level n

Published online by Cambridge University Press:  18 May 2009

G. Hanssens  and
H. van Maldeghem
G. Hanssens
Affiliation:
Seminarie voor Meetkunde en Kombinatoriek, Rljksuniversiteit van Gent, Krijgslaan 281, B-9000 Gent, Belgium
H. van Maldeghem
Affiliation:
Seminarie voor Meetkunde en Kombinatoriek, Rljksuniversiteit van Gent, Krijgslaan 281, B-9000 Gent, Belgium
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In this paper, we establish a new (but equivalent) definition of projective Hjelmslev planes of level n. This shows that the nth floor of a triangle building is a projective Hjelmslev plane of level n (a result already announced in [9], but left unproved). This will allow us to characterize Artmann-sequences by means of their inverse limits and to construct new ones. We also deduce a new existence theorem for level n projective Hjelmslev planes. All results hold in the finite as well as in the infinite case.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 3 , September 1989 , pp. 257 - 261
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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