Bounded Engel symmetric units in group rings

Let G be a group and F an infinite field of characteristic p ≠ 2 . If either G is torsion, or p > 2 and G has only finitely many p -elements, we determine the conditions under which the symmetric units of the group ring FG , with respect to the classical involution, satisfy a bounded Engel identity.

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Publication Details

Journal
Journal of Algebra
Published
2026-03-09
DOI
https://doi.org/10.1016/j.jalgebra.2026.03.003
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Bounded Engel symmetric units in group rings

Gregory T. Lee, Ernesto Spinelli
Journal of Algebra
Finite Group Theory Research
article

Bounded Engel symmetric units in group rings

Gregory T. Lee, Ernesto Spinelli
article en

Abstract

Let G be a group and F an infinite field of characteristic p ≠ 2 . If either G is torsion, or p > 2 and G has only finitely many p -elements, we determine the conditions under which the symmetric units of the group ring FG , with respect to the classical involution, satisfy a bounded Engel identity.

Journal of AlgebraVol. 697
Lakehead University (CA), Sapienza University of Rome (IT)
Openalex Percentile: Top 27%
Finite Group Theory Research
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Bounded Engel symmetric units in group rings — Gregory T. Lee, Ernesto Spinelli · Journal of Algebra (2026) | TGRS Research Map | TGRS