Literature cited
W. Gaschütz, “Zu einem von B. H. und H. Neumann gestellen Problem,” Math. Nachr.,14, Nos. 4–6, 249–252 (1955).
J. H. Smith, “On products of profinite groups,” Illinois J. Math.,13, No. 4, 680–688 (1969).
O. V. Mel'nikov, “Normal subgroups of free profinite groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 1, 3–25 (1978).
E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. 1, Springer-Verlag (1963).
R. Arens, “Topologies for homeomorphism groups,” Am. J. Math.,68, 593–710 (1946).
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Translated from Matematicheskie Zametki, Vol. 31, No. 3, pp. 339–349, March, 1982.
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Mel'nikov, O.V. Characteristic subgroups and automorphisms of free profinite groups. Mathematical Notes of the Academy of Sciences of the USSR 31, 174–179 (1982). https://doi.org/10.1007/BF01145463
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DOI: https://doi.org/10.1007/BF01145463