학술논문
A quasivariety lattice of torsion-free soluble groups.
Document Type
Article
Author
Source
Subject
*QUASIVARIETIES (Universal algebra)
*VECTOR spaces
*ABELIAN groups
*LATTICE theory
*KERNEL functions
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Language
ISSN
0002-5232
Abstract
Let L( qG) be a lattice of quasivarieties contained in a quasivariety generated by a group G. It is proved that if G is a torsion-free finitely generated group in $\mathcal{AB}$ , where p is a prime, p ≠ 2, and k ∈ N, which is a split extension of an Abelian group by a cyclic group, then the lattice L( qG) is a finite chain. [ABSTRACT FROM AUTHOR]