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On the Petrials of thin rank 3 geometries |
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| Authors: | Denis Bonheure Francis Buekenhout Dimitri Leemans |
| Institution: | (1) Université Catholique de Louvain, Chemin du cyclotron, 2, 1348 Louvain-La-Neuve, Belgium, e-mail: bonheure@anma.ucl.ac.be, BE;(2) Université Libre de Bruxelles, Département de Mathématique Géométrie C.P.216, Boulevard du Triomphe, 1050 Bruxelles, e-mail:fbueken@ulb.ac.be; ,dleemans@ulb.ac.be, BE |
| Abstract: | The aim of this paper is to extend the concept of a Petrial to thin (regular) rank three geometries. The main result is that if the Petrial of a thin regular residually connected geometry Γ is also a thin geometry, the geometry Γ has a linear diagram. Received 12 October 1999; revised 25 March 2000. |
| Keywords: | : Thin regular geometries petrials |
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