On Af.Af* geometries |
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Authors: | Alberto Del Fra Antonio Pasini |
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Affiliation: | (1) Dipartimento di Matematica, III Università di Roma, V. C. Segre 2, I-00146 Roma, Italy;(2) Dipartimento di Matematica, Università di Siena, Via del Capitano 15, I-53100 Siena, Italy |
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Abstract: | This paper is intended to be a first step towards the classification of finite flag-transitive geometries of rank 3 with affine planes and dual affine point-residues. We describe those of diameter 1. In the case of diameter > 1, we describe minimal quotients, assuming that the number of lines through two points is large enough. |
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