Abstract
Sequential wreath products of permutation groups are used to construct a continual family of groups that is universal with respect to imbedding in the class of all profinite groups of countable weight. This permits explicit description of the imbeddings in such groups, which naturally generalizes theorems of Kelly and Kaluzhnin-Krasner to profinite groups.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A Steklova Akademii Nauk SSSR, Vol. 175, pp. 113–120, 1989.
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Sushanskii, V.I. Profinite groups of countable weight that are universal with respect to imbedding. J Math Sci 57, 3512–3516 (1991). https://doi.org/10.1007/BF01100122
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DOI: https://doi.org/10.1007/BF01100122