Maximal quasivarieties of groups

被引：0
作者：
Budkin A.I. [1 ]
机构：
来源：
Algebra and Logic | 1998年 / 37卷 / 3期
关键词：
Normal Subgroup; Automorphism Group; Nilpotent Group; Homomorphic Image; Solvable Group;
D O I：
10.1007/BF02671586
中图分类号：
学科分类号：
摘要：
We consider a lattice Lq(qG) of quasivarieties contained in the quasivariety qG, generated by a polycyclic-by-finite group G. It is proved that the lattice contains a finite set of coatoms (i.e., proper maximal elements) and that each of its elements distinct from qG is contained in some coatom. We construct an example of a finitely generated solvable group B of derived length 3, whose quasivariety lattice Lq(qB) is freed of coatoms. © 1998 Plenum Publishing Corporation.
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页码：157 / 163
页数：6
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