References
André, J.: ‘Über Homomorphismen projektiver Ebenen’, Abh. Math. Sem. Hamburg 34 (1970), 98–114.
Carter, D. S. and Vogt, A.: ‘Collinearity Preserving Functions between Desarguesian Planes’. Mem. Amer. Math. Soc. 27 (1980), No. 235.
Gombert, J. M.: ‘Homomorphisms of Finite Projective Planes’. M. S. Thesis, University of Virginia, 1977.
Hughes, D. R.: ‘On Homomorphisms of Projective Planes’, Proc. Symp. Appl. Math. 10 (1958), 45–52.
Jacobson, N.: ‘Composition Algebras and their Automorphisms’. Rend. Circ. Mat. Palermo 7 (1958), 55–80.
Klingenberg, W.: ‘Projektive Geometrien mit Homomorphismus’. Math. Ann. 132 (1956), 180–200.
Petersson, H. P.: ‘Composition Algebras over a Field with a Discrete Valuation’. J. Algebra 29 (1974), 414–426.
Schafer, R. D.: An Introduction to Nonassociative Algebras. Academic Press, New York, 1966.
Schilling, O.: ‘The Theory of Valuations. AMS Math. Surveys IV, 1950, New York.
Skornyakov, L. A.: ‘On Homomorphisms of Projective Planes and T-Homomorphisms of Ternary Rings’. Mat. Sborik 43 (1957), 285–294.
Zariski, O. and Samuel, P.: Commutative Algebra, Vol. II. Van Nostrand, Princeton, N.J., 1960.
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J. R. Faulkner was partially supported by a National Science Foundation grant.
J. C. Ferrar was a guest of the University of Virginia while this research was being carried out.
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Faulkner, J.R., Ferrar, J.C. Homomorphisms of Moufang planes and alternative places. Geom Dedicata 14, 215–223 (1983). https://doi.org/10.1007/BF00146902
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DOI: https://doi.org/10.1007/BF00146902