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Semivarieties of nilpotent groups
Algebra i logika, Tome 49 (2010) no. 5, pp. 577-590 Cet article a éte moissonné depuis la source Math-Net.Ru

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Semivarieties of groups are quasivarieties defined by quasi-identities of the form $t=1\to f=1$. It is proved that a set of semivarieties in every variety of class two nilpotent $p$-groups of finite exponent having a commutator subgroup of exponent $p$ ($p$ is a prime) is at most countable. It is stated that a variety of class two nilpotent groups with commutator subgroup of exponent $p$ contains a set of semivarieties of the cardinality of the continuum.
Keywords: variety, semivariety, nilpotent group. 
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     author = {A. I. Budkin},
     title = {Semivarieties of nilpotent groups},
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     volume = {49},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_5_a0/}
}
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A. I. Budkin. Semivarieties of nilpotent groups. Algebra i logika, Tome 49 (2010) no. 5, pp. 577-590. http://geodesic.mathdoc.fr/item/AL_2010_49_5_a0/

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