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References
Bruck, R.: A survey of binary systems. Berlin (1971).
Belousov, V.D.: Foundations of the theory of quasigroups and loops (Russian). Moscow (1967).
Malcev, A.I.: Analytic loops (Russian). Mat. Sb., N.S. 36 (78), 569–576 (1955).
Kuzmin, E.N.: La relation entre les algebres de Malcev et les boucles de Moufang analytiques. C. r. Acad. Sci. A271, N 23, 1152–1155 (1970).
Sagle, A.A.: Malcev algebras. Trans. Amer. Math. Soc. 101, no. 3, 426–458 (1961).
Yamaguti, K.: On the theory of Malcev algebras. Kumamoto, J. Sci. A6, no. 1, 9–45 (1964).
Kuzmin, E.N.: Malcev algebras and their representation (Russian). Algebra i logika 7, no. 4, 48–69 (1968).
Micheev, P.O.; Sabinin, L.V.: Smooth quasigroups and geometry (Russian). Itogi Nauki i Tekhniki / Problemy Geometrii T. 20, 75–110 (1988).
Kerdman, F.S.: Analytic Moufang loops in the large (Russian). Algebra i logika 18, no. 5, 523–555 (1977).
Aczel, J.: Quasi-groups, nets and nomograms. Adv. Math. v.1, no. 3, 383–450 (1965).
Akivis, M.A.: Three-webs of multidimensional surfaces (Russian). Trudy Geom. Sem. VINITI, Akad. Nauk SSSR, T.2, 7–31 (1969).
Akivis, M.A.: Differential geometry of webs (Russian). Itogi Nauki i Tekhniki / Problemy Geometrii. T. 15, 187–213 (1983).
Barlotti, A.; Strambach, K.: The geometry of binary systems. Adv. Math. 49, no. 1, 1–105 (1983).
Bruck, R.: What is a loop? Studies in Math. v.2, 59–99.
Shelekhov, A.M.: Integration of closed g w -structures (Russian). Kalinin. Gos. Univ., Kalinin, 1989, dep. in VINITI on 26/7/89, under no. 5031-B89.
Micheev, P.O.: On local analytic Bol G-loops (Russian). Tkani i kwasigruppy. Kalinin, 1986, 54–59.
Lazareva, V.B.; Shelekhov, A.M.: Examples of G-webs of dimension 4,6,8.10 with different tangent algebras (Russian). Kalinin. Gos. Univ., Kalinin, 1989, Dep. in VINITI on 26/7/89 under no 5030-B89.
Shelekhov, A. M.: On analytic solutions of the functional equation (xy)x=x(yx) (Russian). Matem. Zametki, to appear.
Onishchik, A.L.: Inclusion relations between compact transformation groups (Russian). Mat. Sb. N.S. 60, no. 4, 447–485 (1963).
Gorbatsevich, V.V.; Onishchik, A.L.: Lie groups of transformations (Russian). Itogi Nauki i Tekhniki / Sovrem. Probl. Matem. / Fundament. Naprawl T.20, 103–244 (1988).
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Shelekhov, A.M. (1991). On the theory of G-webs and G-loops. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083647
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DOI: https://doi.org/10.1007/BFb0083647
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