Characterization of translation planes by orbit lengths ii. even order

被引:1
|
作者
Hiramine, Y [1 ]
Jha, V
Johnson, NL
机构
[1] Kumamoto Univ, Fac Educ, Dept Math, Kumamoto, Japan
[2] Glasgow Caledonian Univ, Dept Math, Glasgow G4 0BA, Lanark, Scotland
[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
关键词
D O I
10.36045/bbms/1103055654
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The translation planes of even order q(2) that admit a collineation group with point orbits at infinity of lengths q + 1 and q(2) - q are classified as either Desarguesian or Hall. Furthermore, the translation planes with spreads in PG(3, q), for q even, admitting a linear collineation group with one point orbit at infinity of length q + 1 and i point orbits at infinity of lengths (q(2) - q)/i for i = 1, 2 are classified as either Desarguesian, Hall, or Ott-Schaeffer.
引用
收藏
页码:395 / 418
页数:24
相关论文
共 50 条