Scientific journal "The News of Altai State University". 2009 #1(61). Mathematics and Mechanics.

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2009

$Mathematics and Mechanics$

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S.S. Glotov

On the Quasivariety Generated by the Quaternion Group

Let M be a quasivariety generated by the quaternion group and L (M) be a lattice of quasivarieties containing in M. It is proven that there does not exist a finite group which generates the maximal proper quasivariety in L (M).

Keywords: quasivariety, lattice of quasivarieties, quaternion group.

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