Abstract:
We prove that there exists a set RR of quasivarieties of nilpotent groups of class two any quasivariety from RR does not have an independent basis of quasi-identities to the class N2N2 of 22-nilpotent groups and has an ωω-independent basis of quasi-identities to N2N2. The intersection of all quasivarieties in RR has an independent basis of quasi-identities to N2N2. The set of such sets RR is continual.