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 fa...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.展开更多
This article is a contribution to the study of the automorphism groups of 3-(v,k,3)designs.Let S=(P,B)be a non-trivial 3-(q+1,k,3)design.If a two-dimensional projective linear group PSL(2,q)acts flag-transitively on S...This article is a contribution to the study of the automorphism groups of 3-(v,k,3)designs.Let S=(P,B)be a non-trivial 3-(q+1,k,3)design.If a two-dimensional projective linear group PSL(2,q)acts flag-transitively on S,then S is a 3-(q+1,4,3)or 3-(q+1,5,3)design.展开更多
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)
文摘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 the National Natural Science Foundation of China(Grant Nos.11301377,11701046,11671402)the Natural Science Foundation of Jiangsu Province(BK20170433)the Universities Natural Science Foundation of Jiangsu Province(16KJB110001).
文摘This article is a contribution to the study of the automorphism groups of 3-(v,k,3)designs.Let S=(P,B)be a non-trivial 3-(q+1,k,3)design.If a two-dimensional projective linear group PSL(2,q)acts flag-transitively on S,then S is a 3-(q+1,4,3)or 3-(q+1,5,3)design.
