Flag-Transitive 2-(v, k, λ) Symmetric Designs with Sporadic Socle

被引：24

作者：

Tian, Delu ^{[1
,2
]}

Zhou, Shenglin ^{[1
]}

机构：

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

[2] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2015年 / 23卷 / 04期

关键词：

symmetric design; flag-transitive; point-primitive; sporadic simple group; PRIMITIVITY;

D O I：

10.1002/jcd.21385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a nontrivial 2-(v, k, lambda) symmetric design admitting a flag-transitive, point-primitive automorphism group G of almost simple type with sporadic socle. We prove that there are up to isomorphism six designs, and D must be one of the following: a 2-(144, 66, 30) design with G = M-12 or M-12 : 2, a 2-(176, 50, 14) design with G = HS, a 2-(176, 126, 90) design with G = M-22 or HS, or a 2-(14,080, 12,636, 11,340) design with G = Fi(22). (C) 2014 Wiley Periodicals, Inc.

引用

页码：140 / 150

页数：11

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