Abstract
Let \( {\mathcal{R}}_{p^{k}} \) be the variety of \( 2 \)-nilpotent groups of exponent \( p^{k} \) with commutator subgroup of exponent \( p \) (\( p \) is a prime). We prove the infinity of the set of the subquasivarieties of \( {\mathcal{R}}_{p^{k}} \) \( (k\geq 2) \) generated by a finite group and lacking any independent bases of quasi-identities.
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Budkin, A.I. On the Quasivarieties Generated by a Finite Group and Lacking Any Independent Bases of Quasi-Identities. Sib Math J 61, 983–993 (2020). https://doi.org/10.1134/S0037446620060038
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DOI: https://doi.org/10.1134/S0037446620060038