On varieties of soluble groups II

Author:

Groves J.R.J.

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)

Subject

General Mathematics

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

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