Let G be a group and F an infinite field of characteristic p different from 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.
Bounded Engel symmetric units in group rings / Lee, Gregory T.; Spinelli, Ernesto. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 697:(2026), pp. 1-10. [10.1016/j.jalgebra.2026.03.003]
Bounded Engel symmetric units in group rings
Lee, Gregory T.;Spinelli, Ernesto
2026
Abstract
Let G be a group and F an infinite field of characteristic p different from 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.File allegati a questo prodotto
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