Hermitian unital中的两个无限2-设计族

Two infinite families of 2-designs from Hermitian unital

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摘要本研究证明Hermitian unital中以3维特殊射影酉群PSU(3,q)作为旗传递自同构群的两个无限2-设计族的存在性,为旗传递2-设计的分类提供新的分类方法. In this paper,we established the existence of two infinite families of 2-designs from Hermitian unital U_(H)(q),which admited PSU(3,q)asag-transitive automorphism group.This new classification method is provided for the classification of flag-transitive 2-designs.

作者李荣荣詹小秦 LI Rongrong;ZHAN Xiaoqin(School of Science, East China Jiaotong University, Nanchang 330013, China)

机构地区华东交通大学理学院

出处《湖北大学学报（自然科学版）》 CAS 2022年第4期496-500,共5页 Journal of Hubei University：Natural Science

基金国家自然科学基金(11801174)资助。

关键词 2-设计 Hermitian unital 自同构群旗传递 PSU(3 q) 2-design Hermitian unital automorphism group block-transitive imprimitive PSU(3,q)

分类号 O152.1 [理学—基础数学]

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湖北大学学报（自然科学版）

2022年第4期

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Hermitian unital中的两个无限2-设计族

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