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On inductively minimal geometries that satisfy the intersection property
Authors:Philippe Cara  Dimitri Leemans
Institution:a Department of Mathematics, Vrije Universiteit Brussels, Pleinlaan 2, B-1050 Brussel, Belgium
b Département de Mathématique, Université Libre de Bruxelles, C.P. 216 - Géométrie, Boulevard du Triomphe, B-1050 Bruxelles, Belgium
Abstract:We prove that, up to isomorphism, for a given positive integer n, there is only one inductively minimal pair (Γ,Sym(n)) of rank n-1 that satisfies the intersection property. Moreover, we show that the diagram of Γ is linear.
Keywords:51E24
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