Characterization of translation planes by orbit lengths ii. even order

Authors
Hiramine, Y Jha, V Johnson, NL
Citation
Y. Hiramine et al., Characterization of translation planes by orbit lengths ii. even order, B BELG MATH, 7(3), 2000, pp. 395-418
Citations number
27
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
ISSN journal
13701444 → ACNP
Volume
7
Issue
3
Year of publication
2000
Pages
395 - 418
Database
ISI
SICI code
1370-1444(200007/09)7:3<395:COTPBO>2.0.ZU;2-D
Abstract
The translation planes of even order q(2) that admit a collineation group w ith point orbits at infinity of lengths q + 1 and q(2) - q are classified a s either Desarguesian or Hall. Furthermore, the translation planes with spr eads in PG(3, q), for q even, admitting a linear collineation group with on e 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, H all, or Ott-Schaeffer.