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Let F be a field and G a group. We present the conditions under which \(\mathcal {U}(FG)\) is n-Engel, for some n. We also discuss results concerning groups G such that \(\mathcal {U}^+(FG)\) is n-Engel, when FG has the classical involution.

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The Bounded Engel Property

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  • 发表日期：

    2025年

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  • Gregory T. Lee

摘要

Let F be a field and G a group. We present the conditions under which \(\mathcal {U}(FG)\) is n-Engel, for some n. We also discuss results concerning groups G such that \(\mathcal {U}^+(FG)\) is n-Engel, when FG has the classical involution.