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VERY HOMOGENEOUS GENERALIZED n-GONS OF FINITE MORLEY RANK

Published online by Cambridge University Press:  30 October 2000

K. TENT
K. TENT
Affiliation:
Mathematisches Institut, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany; tent@mathematik.uni-wuerzburg.de
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Abstract

(Almost strongly minimal) generalized n-gons are constructed for all n [ges ] 3 for which the automorphism group acts transitively on the set of ordered ordinary (n + 1)-gons contained in it, a new class of BN-pairs thus being obtained. Through the construction being modified slightly, 2ℵ0 many non-isomorphic almost strongly minimal generalized n-gons are obtained for all n [ges ] 3, none of which interprets an infinite group. Furthermore, a characterization is given of all graphs whose simple cycles all have length 2n for some n [ges ] 3.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 1 - 15
Copyright
The London Mathematical Society 2000

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