摘要
We determine the sizes of orbits from the action of subgroups of PSL(2,q) on projective line X = GF(q) ∪ {∞} with q a prime power and congruent to 1 modulo 4.As an example of its application,we construct some new families of simple 3-designs admitting PSL(2,q) as automorphism group.
We determine the sizes of orbits from the action of subgroups of PSL（2,q） on projective line X = GF（q） ∪ {∞} with q a prime power and congruent to 1 modulo 4.As an example of its application,we construct some new families of simple 3-designs admitting PSL（2,q） as automorphism group.
基金
supported by National Natural Science Foundation of China (Grant Nos.10871205 and 10971252)
the Research Foundation of Education Bureau of Hunan Province of China (Grant No. 08c021)
