Embedding Finite Projective Geometries into Finite Projective Planes
Year 2009,
Volume: 2 Issue: 2, 27 - 33, 30.10.2009
Barbu C. Kestenband
Abstract
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)
References
- [1] B.C. Kestenband, The correlations of finite Desarguesian planes, Part I: Generalities. J.
Geom. 77 (2003), 61-101.
Year 2009,
Volume: 2 Issue: 2, 27 - 33, 30.10.2009
Barbu C. Kestenband
References
- [1] B.C. Kestenband, The correlations of finite Desarguesian planes, Part I: Generalities. J.
Geom. 77 (2003), 61-101.
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