Literature Cited
A. I. Shirshov, “Algorithmic problems for soluble Lie algebras,” Fourth All-Union Congress on General Algebra, Usp. Mat. Nauk,17, No. 6, 228 (1962).
G. P. Kukin, “Algorithmic problems for soluble Lie algebras,” Algebra Logika,17, No. 4, 402–415 (1978).
N. S. Romanovskii, “Some algorithmic problems for soluble groups,” Algebra Logika,13, No. 1, 26–34 (1974).
A. I. Shirshov, “Some algorithmic problems for Lie algebras,” Sib. Mat. Zh.,3, No. 2, 292–296 (1962).
N. S. Romanovskii, “The freedom theorem for groups with one defining relation in varieties of soluble and nilpotent groups of given degree,” Mat. Sb.,89, No. 1, 93–99 (1972).
A. L. Shmel'kin, “Interlacings of Lie algebras and their applications to group theory,” Tr. Mosk. Mat. O-va,29, 247–260 (1973).
L. A. Bokut, “A basis of free multinilpotent Lie algebras,” Algebra Logika,2, No. 4, 13–19 (1962).
Additional information
Lenin Komsomol State University, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 4, pp. 176–181, July–August, 1981.
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Talapov, V.V. Soluble lie algebras with one defining relation. Sib Math J 22, 620–625 (1981). https://doi.org/10.1007/BF00967768
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DOI: https://doi.org/10.1007/BF00967768