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Linear Groups with Almost Right Engel Elements
Published online by Cambridge University Press: 30 January 2019
Abstract
Let G be a linear group such that for every g ∈ G there is a finite set ${\cal R}(g)$ with the property that for every x ∈ G all sufficiently long commutators [g, x, x, …, x] belong to ${\cal R}(g)$. We prove that G is finite-by-hypercentral.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 3 , August 2019 , pp. 789 - 797
- Copyright
- Copyright © Edinburgh Mathematical Society 2019
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