On the independent axiomatizability of quasivarieties of nilpotent groups

A. I. Budkin

Altai State University, Barnaul

Abstract: We construct the new quasivarieties of groups of exponent $p$ (with $p$ an odd prime) which are generated by a finite group and have no independent basis of quasi-identities.

Keywords: quasivariety, quasi-identity, independent basis, nilpotent group.

UDC: 512.54

Received: 15.04.2022
Revised: 15.04.2022
Accepted: 15.06.2022

DOI: 10.33048/smzh.2023.64.103

 English version: Siberian Mathematical Journal, 2023, 64:1, 22–32

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