Summary and Info
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.
More About the Author
In mathematics, a Buekenhout geometry or diagram geometry is a generalization of projective space, Tits buildings, and several other geometric structures, introduced by Buekenhout (1979).
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