Abstract

In certain point-line geometries $G=\left(\mathcal{P},\mathcal{ℒ}\right)$, $G^{\prime }=\left({\mathcal{P}}^{\prime },{\mathcal{ℒ}}^{\prime }\right)$, which include dense near polygons and the geometry of Hermitian matrices, any adjacency preserving mapping $\phi :\mathcal{P}\to {\mathcal{P}}^{\prime }$ satisfying

is an isomorphism between $G$ and $\phi \left(G\right)$.

Mathematical Subject Classification 2000

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