Non-existence of point-transitive 2-(106,6,1) designs

被引：0

作者：

Guan, Haiyan ^{[1
]}

Zhou, Shenglin ^{[1
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2014年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

linear space; design; point-transitive; AUTOMORPHISMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a linear space with 106 points, with lines of size 6, and let G be an automorphism group of S. We prove that G cannot be point-transitive. In other words, there exists no point-transitive 2-(106, 6, 1) designs.

引用

页数：11

共 12 条

[1] ON ISOMORPHISMS OF 2 METACYCLIC GROUPS [J].

BASMAJI, BG .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (01) :175-&

[2]

Beth Thomas., 1985, Design theory

[3] BLOCK TRANSITIVE AUTOMORPHISM-GROUPS OF 2-(V,K,1) BLOCK-DESIGNS [J].

CAMINA, A ;

SIEMONS, J .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1989, 51 (02) :268-276

[4] Alternating groups acting on finite linear spaces [J].

Camina, AR ;

Neumann, PM ;

Praeger, CE .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2003, 87 :29-53

[5] THE GROUP OF AUTOMORPHISMS OF A TRANSITIVE 2-(91,6,1) DESIGN [J].

CAMINA, AR ;

DIMARTINO, I .

GEOMETRIAE DEDICATA, 1989, 31 (02) :151-164

[6]

Colbourn C.J., 2006, Handbook of Combinatorial Designs. Discrete Mathematics and Its Applications

[7]

Colbourn CJ, 1981, ABSTR AM MATH SOC, V2, P463

[8]

COLBOURN CJ, 1980, UTILITAS MATHEMATICA, V17, P127

[9]

Hupper B, 1982, ENDLICHE GRUPPEN

[10] CYCLIC 2-(91, 6, 1) DESIGNS WITH MULTIPLIER AUTOMORPHISMS [J].

JANKO, Z ;

TONCHEV, VD .

DISCRETE MATHEMATICS, 1991, 97 (1-3) :265-268

← 1 2 →