A (c. L*-Geometry for the Sporadic Group J2 |
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Authors: | Francis Buekenhout Cécile Huybrechts |
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Institution: | (1) Service de Gémetrie, CP 216, Campus Plaine, Université Libre de Bruxelles, Bd du Triomphe, B-1050 Bruxelles, Belgique; e-mail: Email |
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Abstract: | We prove the existence of a rank three geometry admitting the Hall–Janko group J2 as flag-transitive automorphism group and Aut(J2) as full automorphism group. This geometry belongs to the diagram (c·L*) and its nontrivial residues are complete graphs of size 10 and dual Hermitian unitals of order 3. |
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Keywords: | Diagram geometry groups and geometries Hall-Janko groupJ2 |
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