On the definability of verbal subgroups

Archive for Mathematical Logic 40 (7):525-529 (2001)
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Abstract

We show that if G is a group of finite Morley rank, then the verbal subgroup is of finite width, where w is a concise word. As a byproduct, we show that if G is any abelian-by-finite group, then Gn= is definable.

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10.1007/s001530100086

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Axiomatization of abelian-by- G groups for a finite group G.Francis Oger - 2001 - Archive for Mathematical Logic 40 (7):515-521.

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