On m-ovoids of finite classical polar spaces with an irreducible transitive automorphism group

被引：0
|
作者：
Feng, Tao [1 ]
Li, Weicong [2 ,3 ]
Tao, Ran [4 ,5 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
[2] Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
[3] Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Shenzhen 518055, Peoples R China
[4] Shandong Univ, Key Lab Cryptol Technol & Informat Secur, Minist Educ, Qingdao 266237, Peoples R China
[5] Shandong Univ, Sch Cyber Sci & Technol, Qingdao 266237, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 03期
基金：
中国国家自然科学基金;
关键词：
transitive m-ovoids; irreducible action; finite classical polar spaces; primitive divisor; MAXIMAL-SUBGROUPS; INTRIGUING SETS; TIGHT SETS; REE GROUPS; M-SYSTEMS;
D O I：
10.1007/s11425-021-2060-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive m-ovoids.
引用
收藏
页码：683 / 712
页数：30
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