| 52 | 1 | 14 |
| 下载次数 | 被引频次 | 阅读次数 |
利用素数次数的传递群的分类 ,给出了点的个数为素数 p的点传递的 2 - ( p,k,1 )设计的分类 :( i) d-维射影空间 ;( ii) n阶射影平面 ;( iii) G AGL ( 1 ,p) ,且点等同于域 GF( p)上的 1维向量空间 V( 1 ,p)的所有向量 (点 )的 2 - ( p,k,1 )设计
Abstract：Let p be a prime,by using the classification of all transitive groups of prime degree,this paper gives the following classification of all point transitive 2 ( p,k ,1)block designs:(i)the d dimensional projective space;(ii)the finite projective plane of order n ;(iii)the 2 ( v,k ,1) design whose points are equal to the vectors(points)of the 1 demensional vector space V (1, p )over GF(p) ,and GAGL(1,p) .
[1] HughsD H,PiperP C.DesignTheory.London:CambridgeUniversityPress,1985.
[2] HuppertB.EndlicheGruppenI.Berlin:Springer- verlag,1967.
[3] 方卫东,李慧陵.Gamina-Gagen定理的一个推广.数学杂志,1993,13(4):437-441
[4] BlockR E.On the orbits of collineation groups.Math.Z.1961,96:33-49
[5] KantorW M.Primitive permutation groups of odd degree and application to finite projectiveplanes,J.Algebra,1987,106:15-45
[6] KantorW M.Homogeneous designs and geometric lattices,J.Combin.TheorySerA.1985,38:66-74
[7] BurnsideW.On some properties of groups of odd order,J.LondonMathSoc.,1901,33:162-185
[8] CameronP J.Finite permutation groups and finite simple groups.Bull.L ondonMath.Soc.,1981,13:1-12
[9] WielandtH.FinitePermutationGroups.NewYork:AcademicPress,196
基本信息:
中图分类号:O152.1
引用信息:
[1]周胜林.点传递的2-(p,k,1)区组设计[J].汕头大学学报(自然科学版),2002(02):1-4.
基金信息:
国家自然科学基金资助项目 (项目编号 :1 0 1 71 0 89)
2002-05-30
2002-05-30