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Literature cited
P. Hall, “Finiteness conditions for solvable groups,” in: Solvable and Simple Infinite Groups [Russian translation], Mir, Moscow (1981), pp. 148–170.
H. Abels, “An example of a finitely presented solvable group,” London Math. Soc. Lect. Note Series, No. 36, 205–211 (1979).
R. Bieri and R. Strebel, “Metabelian quotients of finitely presented soluble groups are finitely presented,” London Math. Soc. Lect. Notes Series, No. 36, 231–234 (1979).
D. Gildenhuys and R. Strebel, “On the cohomology of soluble groups II,” J. Pure Appl. Algebra,26, No. 3, 293–323 (1982).
G. Behrendt and P. M. Neumann, “On the number of normal subgroups of an infinite group,” J. London Math. Soc.,23, No. 3, 429–432 (1981).
M. I. Kargapolov and Yu. I. Merzlyakov, The Fundamentals of Group Theory [in Russian], Nauka, Moscow (1982).
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Translated from Matematicheskie Zametki, Vol. 36, No. 3, pp. 289–294, September, 1984.
The author wishes to express his gratitude to Yu. I. Merzlyakov for valuable discussions and for his interest in this article.
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Lyul'ko, A.N. Normal subgroups of Abels' groups. Mathematical Notes of the Academy of Sciences of the USSR 36, 639–641 (1984). https://doi.org/10.1007/BF01141931
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DOI: https://doi.org/10.1007/BF01141931