Volume 19 Volume 19, Issue 4, 137–181 Volume 19, Issue 3, 95–135 Volume 19, Issue 2, 47–94 Volume 19, Issue 1, 1–46
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We prove that a pseudo-oval or pseudo-ovoid (that is not an oval or ovoid) admitting an insoluble transitive group of collineations is elementary and arises over an extension field from a conic, an elliptic quadric, or a Suzuki-Tits ovoid.
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