In this paper, in order to find a set of element orders of projective special liner group PSL(2,q) and num-bers of elements every order and order of group,we give a search algorithm and discuss complexity of the algor...In this paper, in order to find a set of element orders of projective special liner group PSL(2,q) and num-bers of elements every order and order of group,we give a search algorithm and discuss complexity of the algorithm.展开更多
For a prime p at least 5, let T = PSL(2, p). This paper gives a classification of the connected arc-transitive cubic Cayley graphs on T and a determination of the generated pairs (-a,-t) of T such that o(-a) = 2 and o...For a prime p at least 5, let T = PSL(2, p). This paper gives a classification of the connected arc-transitive cubic Cayley graphs on T and a determination of the generated pairs (-a,-t) of T such that o(-a) = 2 and o(-t) = 3.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
In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invari...In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model.展开更多
文摘In this paper, in order to find a set of element orders of projective special liner group PSL(2,q) and num-bers of elements every order and order of group,we give a search algorithm and discuss complexity of the algorithm.
基金supported by the National natural Science Foundation of China(Grant No.10371003)Beijing Natural Science Foundation(Grant no.1052005)BMCE(Grant No.KM 2004 10028001).
文摘For a prime p at least 5, let T = PSL(2, p). This paper gives a classification of the connected arc-transitive cubic Cayley graphs on T and a determination of the generated pairs (-a,-t) of T such that o(-a) = 2 and o(-t) = 3.
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.
文摘In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model.
