Abstract.
We show that if G is a group of finite Morley rank, then the verbal subgroup <w(G)> 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 G n=<x n(G)> is definable.
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Received: 15 March 1996 / Published online: 18 July 2001
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Point, F. On the definability of verbal subgroups. Arch. Math. Logic 40, 525–529 (2001). https://doi.org/10.1007/s001530100086
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DOI: https://doi.org/10.1007/s001530100086