Projective planes of order 12 do not have a collineation group of order 4

被引：0

作者：

Akiyama, Kenzi ^{[1
]}

Suetake, Chihiro ^{[2
,4
]}

Tanaka, Masaki ^{[3
]}

机构：

[1] Fukuoka Univ, Dept Appl Math, Fukuoka, Japan

[2] Oita Univ, Fac Engn, Dept Math, Oita, Japan

[3] Sojo Univ, Dept Math, Kumamoto, Japan

[4] Oita Univ, Fac Engn, Dept Math, Oita 8701192, Japan

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2023年 / 31卷 / 02期

关键词：

collineation; generalized elation; projective plane; symmetric transversal design; NONEXISTENCE;

D O I：

10.1002/jcd.21869

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that there are no projective planes of order 12 admitting a collineation group of order 4. This yields that the order of any collineation group of a projective plane of order 12 is 1, 2, or 3.

引用

页码：87 / 123

页数：37

共 50 条

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