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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.
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页码:395 / 418
页数:24
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