The Levi class generated by the class ℳ of groups is the class of all groups in which the normal closure of each element belongs to ℳ. We describe Levi classes generated by a quasivariety \( {\mathcal{K}}^{p^s} \) and some of its subquasivarieties, where \( {\mathcal{K}}^{p^s} \) is the quasivariety of groups with commutator subgroup of order p in which elements of the exponent of the degree of p less than ps are contained in the center of a group, p is a prime, p ≠ 2, s ≥ 2, and s > 2 for p = 3.
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Translated from Algebra i Logika, Vol. 60, No. 5, pp. 510-524, September-October, 2021. Russian DOI: https://doi.org/10.33048/alglog.2021.60.504.
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Shakhova, S.A. Levi Classes of Quasivarieties of Groups with Commutator Subgroup of Order p. Algebra Logic 60, 336–347 (2021). https://doi.org/10.1007/s10469-021-09659-3
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DOI: https://doi.org/10.1007/s10469-021-09659-3