References
ALBERT, A.A.:Structure of algebras. (Colloq. Publ.24) Amer. Math. Soc., Providence, R.I. (1961).
ANDRÉ, J.: Über Parallelstrukturen-Teil I. Math. Zeitschr.76 (1961), 85–102.
GRAHAM, A.:Kronecker products and matrix calculus: with applications. Ellis Horwood Ltd, Chichester (1981).
KARZEL, H.: Kinematic spaces. Symposia Mathematica, Ist. Naz. di Alta Matematica11 (1973), 413–439.
KARZEL, H. and KIST, G.P.: Kinematic algebras and their geometries. Rings and Geometry (Kaya et al. eds.) NATO ASI series — C160 (1985), 437–509.
KARZEL, H., KROLL, H.-J. and SÖRENSEN, K.: Invariante Gruppenpartitionen und Doppelräume. J. Reine Angew. Math. 262/263 (1973), 153–157.
KARZEL, H. and MARCHI, M.: Plane fibered incidence groups. J. of Geometry20 (1983), 192–201.
KIST, G.P.: Projektiver Abschluss 2-gelochter Räume. Res. in Math.3 (1980), 192–211.
LAM, T.Y.:The algebraic theory of quadratic forms. W.A.Benjamin, Inc., Reading, Massachusetts (1973).
LÜNEBURG, H.:Translation planes. Springer Verlag, New York (1980).
MAXSON, C.J. and OSWALD, H.: Operators of fibered groups. J. of Geometry31 (1988), 141–150.
PIANTA, S.: On automorphisms for some fibered incidence groups. J. of Geometry30, (1987).
PIANTA, S. and ZIZIOLI, E.: Split extensions of kinematic spaces and their automorphisms. Pre-print (to appear in “Proceedings of Combinatorics 88”).
TALLINI, G.: Sulle k-calotte di uno spazio lineare finito. Ann. Mat.42 (1956), 119–164.
ZAPPA, G.: Partizioni ed S-partizioni dei gruppi finiti. Symposia Mathematica, Ist. Naz. di Alta Matematica1 (1969), 85–94.
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Dedicated to Professor Giuseppe Tallini on the occasion of his 60th birthday.
Research supported by Ministero della Pubblica Istruzione (40%, 60% M.P.I.).
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Pianta, S., Zizioli, E. Collineations of geometric structures derived from quaternion algebras. J Geom 37, 142–152 (1990). https://doi.org/10.1007/BF01230367
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DOI: https://doi.org/10.1007/BF01230367