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Let $ {\mathcal{R}}_{p^{k}} $ be the variety of $ 2 $ -nilpotent groups of exponent $ p^{k} $ with commutator subgroup of exponent $ p $ ( $ p $… Click to show full 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.
Keywords:
finite group;
generated finite;
group lacking;
independent bases;
lacking independent;
bases quasi
Journal Title: Siberian Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Siberian Mathematical Journal
Year Published: 2020
Link to full text (if available)
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recommendations!