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

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2000年 / 7卷 / 03期

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

页码：395 / 418

页数：24

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