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1 results

  • VERY HOMOGENEOUS GENERALIZED n-GONS OF FINITE MORLEY RANK

  • K. TENT
  • Journal:
    Journal of the London Mathematical Society / Volume 62 / Issue 1 / August 2000
    Published online by Cambridge University Press:
    30 October 2000, pp. 1-15
    Print publication:
    August 2000

  • (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.