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.

引用

页码：157 / 163

页数：6

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