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doi:10.1007/s11464-020-0876-3

Front. Math. China

2020, Vol. 15

Issue (6) : 1201-1210 https://doi.org/10.1007/s11464-020-0876-3

RESEARCH ARTICLE

Flag-transitive 2-

υ, 5, λ

designs with sporadic socle

Jiaxin SHEN, Shenglin ZHOU(

)

School of Mathematics, South China University of Technology, Guangzhou 510640, China

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Abstract

We state that the ag-transitive automorphism group of a 2- $υ, 5, λ$ design $D$ is primitive of affine type or almost simple type. We also find that there are up to isomorphism 20 2- $υ, 5, λ$ designs admitting flag-transitive automorphism groups with socle of a sporadic simple group.

Keywords 2-design primitivity flag-transitivity sporadic simple group

Corresponding Author(s): Shenglin ZHOU

Issue Date: 05 February 2021

Cite this article:

Jiaxin SHEN,Shenglin ZHOU. Flag-transitive 2-

υ, 5, λ

designs with sporadic socle[J]. Front. Math. China, 2020, 15(6): 1201-1210.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0876-3
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I6/1201

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