Quasivariety Generated by Free Metabelian and 2-Nilpotent Groups |
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Authors: | A I Budkin |
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Institution: | (1) Pavlovskii road 60a-168, Barnaul, 656064, Russia |
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Abstract: | Let qG be a quasivariety generated by a group G and
be a non-Abelian quasivariety of groups with a finite lattice of subquasivarieties. Suppose
is contained in a quasivariety generated by the following two groups: a free 2-nilpotent group F2(
2) of rank 2 and a free metabelian (i.e., with an Abelian commutant) group F2(
2) of rank 2. It is proved that either
= qF2(
2) or
= qF2(
2) in this instance.__________Translated from Algebra i Logika, Vol. 44, No. 4, pp. 389–398, July–August, 2005. |
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Keywords: | quasivariety free group metabelian group 2-nilpotent group |
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