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On profinite groups in which commutators are Engel
Published online by Cambridge University Press: 09 April 2009
Abstract
We show that if G is a finitely generated profinite group such that [x1, x2, …, xk] is Engel for any x1, x2, …, xk ∈ G, then γ(G) is locally nilpotent, and if [x1, x2, …, xk] has finite order for any x1, x2, …, xk ∈ G then, under some additional assumptions, γk(G) is locally finite.
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- Research Article
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- Copyright © Australian Mathematical Society 2001
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