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Characterization of Translation Planes by Orbit Lengths.
- Source :
- Geometriae Dedicata; Nov1999, Vol. 78 Issue 1, p69-80, 12p
- Publication Year :
- 1999
-
Abstract
- The Desarguesian, Hall, and Hering translation planes of order q<superscript>2</superscript> are characterized as exactly those translation planes of odd order with spreads in PG (3,q) that admit a linear collineation group with infinite orbits one of length q+1 and i of length (q-q) /i for i=1 or 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00465755
- Volume :
- 78
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Geometriae Dedicata
- Publication Type :
- Academic Journal
- Accession number :
- 50166816
- Full Text :
- https://doi.org/10.1023/A:1005226621288