传递和共传递大写字母
Transitive and Co-Transitive Caps
摘要：
PG（r，q）中的cap是一组点，其中没有三个点是共线的。一个帽子被称为传递的，如果它的自同构群在PGammaL（r+1，q）中传递地作用在帽子上，而共传递的，如果自同构群传递地作用在PG（r，q）中帽子的补上。传递的、共传递的帽被表征为以下之一：PG（3，q）中的椭圆二次曲面; PG（3，q）中的Suzuki-Tits卵形体; PG（2，4）中的超卵形; PG（4，3）中大小为11的帽; PG（r，2）中超平面的补;或PG（r，q）中Singer轨道的并，其自同构群来自GammaL（1，q ^{r+1}）的子群。
英文摘要：
A cap in PG(r,q) is a set of points, no three of which are collinear. A cap is said to be transitive if its automorphism group in PGammaL(r+1,q) acts transtively on the cap, and co-transitive if the automorphism group acts transtively on the cap's complement in PG(r,q). Transitive, co-transitive caps are characterized as being one of: an elliptic quadric in PG(3,q); a Suzuki-Tits ovoid in PG(3,q); a hyperoval in PG(2,4); a cap of size 11 in PG(4,3); the complement of a hyperplane in PG(r,2); or a union of Singer orbits in PG(r,q) whose automorphism group comes from a subgroup of GammaL(1,q^{r+1}).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
