Abstract
The automorphism group of PG(2, q2) acts transitively on the Baer subplanes, but does not act transitively on the ordered pairs of disjoint Baer subplanes. We determine the geometric difference between pairs in different orbits.
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References
R.D. Baker, J.M.N. Brown, G.L. Ebert, J.C. Fisher: Projective Bundles, Bull. Belg. Math. Soc.3 (1994), 329–336.
J. Cofman: Baer Subplanes in Finite Projective and Affine Planes, Can. J. Math., Vol. XXXIV, No. 1 (1972), 90–97
P. Dembowski: Finite Geometries, Springer-Verlag, Berlin, Heidelberg, New York (1968).
J. Eisfeld: Some Big Sets of Mutually Disjoint Subgeometries ofPG(d,q t), Geometriae Dedicata61 (1996), 87–102.
J.W.P. Hirschfeld: Projective Geometries over Finite Fields, Oxford University Press, Oxford (1979).
J. Singer: A Theorem in Finite Projective Geometry and Some Applications to Number Theory, Trans. Amer. Math. Soc.43 (1938), 377–385.
J.Ueberberg: Projective Planes and Dihedral Groups, to appear in: Proceedings of the conference Combinatorics '94, Montesilvano (1994)
J.Ueberberg: A Class of Partial Linear Spaces Related toPGL3(q2), to appear in: Europ. J. Combinatorics (1996)
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Eisfeld, J. On pairs of Baer subplanes inPG(2,q 2). J Geom 63, 57–63 (1998). https://doi.org/10.1007/BF01221238
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DOI: https://doi.org/10.1007/BF01221238