Abstract
It is shown that, in a variety which does not contain all metabelian groups and is contained in a product of (finitely many) varieties each of which is soluble or locally finite, every group is an extension of a group of finite exponent by a nilpotent group by a group of finite exponent.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. Groups of Automorphisms of Soluble Groups
2. On soluble groups varieties;Šmel'kin;Soviet Math. Dokl.,1968
3. Varieties of Groups
4. Finiteness conditions for soluble groups;Hall;Proc. London Math. Soc.,1954
5. On Metanilpotent Varieties of Groups
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On finite p-groups satisfying given laws;Monatshefte für Mathematik;2018-12-19
2. On the groups of unitriangular automorphisms of relatively free groups;Siberian Mathematical Journal;2012-09
3. Bounds for nilpotent-by-finite groups in certain varieties;Journal of the Australian Mathematical Society;2002-12
4. V;Encyclopaedia of Mathematics;1993
5. Identities;Encyclopaedia of Mathematical Sciences;1991