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Literature Cited
H. Poincaré, “Sur les hypothèses fondamentales de la géometrie,” Bull. Soc. Math. France,15, 203–216 (1887); Oeuvres de H. Poincaré, Vols. I–XI, Gauthier-Villars, Paris (1916–1956).
A. Z. Petrov, New Methods in the General Theory of Relativity [in Russian], Nauka, Moscow (1966).
S. Lie and F. Engel, Teorie der Transformationsgruppen, Vol. 3, Teubner, Leipzig (1893).
N. G. Chebotarev, Theorie of Lie Groups [in Russian], Gostekhizdat, Moscow (1940).
L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).
L. P. Eisenhart, Continuous Groups of Transformations, Dover, New York (1961).
I. M. Yaglom, The Galilean Relativity Principle and Non-Euclidean Geometry [in Russian], Nauka, Moscow (1969).
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Novosibirsk Pedagogical Institute. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 23, No. 5, pp. 132–141, September–October, 1982.
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Mikhailichenko, G.G. Three-dimensional Lie algebras of transformations of the plane. Sib Math J 23, 694–702 (1982). https://doi.org/10.1007/BF00971288
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DOI: https://doi.org/10.1007/BF00971288