Flag-transitive non-symmetric 2-designs with (r, lambda)=1 and sporadic socle

Zhan Xiaoqin; Zhou Shenglin

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Flag-transitive non-symmetric 2-designs with (r, lambda)=1 and sporadic socle

机译：（r，lambda）= 1和零星的标志传递非对称2设计

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This paper is a contribution to the investigation of flag-transitive non-symmetric 2-designs. We prove that if 'D is a non-trivial non-symmetric 2-(v, k, X) design with (r, lambda) and G <= Au t (I)) is flag-transitive with sporadic socle, then D must be one of following: a 2-(12, 6, 5) design with G = M-11, or a 2-(22, 6, 5) design with G = M-22 or M-22 : 2.

机译：本文为标志传递非对称2-设计的研究做出了贡献。我们证明如果'D是具有（r，lambda）且G <= Au t（I））的非平凡非对称2-（v，k，X）设计是偶发性晶石的标志传递性，则D必须为以下之一：G = M-11的2-（12、6、5）设计或G = M-22或M-22的2-（22、6、5）设计：2。

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来源
《Designs, Codes and Crytography》 |2016年第3期|481-487|共7页
作者
Zhan Xiaoqin; Zhou Shenglin;
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作者单位

South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China;

South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
2-Design; Flag-transitive; Socle; Sporadic simple group;

机译：2-设计;标志传递;Socle;零星简单群;

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Flag-transitive non-symmetric 2-designs with (r, lambda)=1 and sporadic socle

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