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Literature cited
J. Braconnier, “Sur les groupeś topologiqueś localement compacts,” J. Math. Pures Appl.,27, No. 1, 1–85 (1948).
O. V. Mel'nikov, “Automorphism groups of compact, totally disconnected, Abelian groups,” Dokl. Akad. Nauk BSSR,16, No. 9, 777–780 (1972).
O. V. Mel'nikov, “Locally compact groups with discrete automorphism group,” in: Fourth All-Union Symposium on Group Theory, Abstracts of Reports, Novosibirsk (1973), pp. 141–144.
Z. I. Moskalenko, “On the existence of compact, totally disconnected groups with locally compact, noncompact group of topological automorphisms,” Ukr. Mat. Zh.,31, No. 2, 196–201 (1979).
A. G. Kurosh, Group Theory, Chelsea Publ.
J. H. Smith, “On the product of profinite groups,” Ill. J. Math.,13, No. 4, 680–688 (1969).
M. Hall, Jr., The Theory of Groups [Russian translation], IL, Moscow (1962).
V. S. Charin, “Groups of finite rank. I,” Ukr. Mat. Zh.,16, No. 2, 212–219 (1964).
N. N. Myagkova, “Groups of finite rank,” Izv. Akad. Nauk SSSR, Ser. Mat.,13, 495–512 (1949).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 46–52, January–February, 1980.
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Moskalenko, Z.I. Automorphism groups of compact, totally disconnected, nilpotent groups. Ukr Math J 32, 33–38 (1980). https://doi.org/10.1007/BF01090464
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DOI: https://doi.org/10.1007/BF01090464