Let F be a field of characteristic different from 2 and G a group with involution *. Extend the involution to the group ring FG, and write (FG)^(-) for the Lie subalgebra of FG consisting of the skew elements. We classify the torsion groups G having no elements of order 2 such that (FG)^(-) is bounded Lie Engel.
The bounded Lie Engel property on torsion group algebras / Francesco, Catino; Gregory T., Lee; Spinelli, Ernesto. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 215:11(2011), pp. 2639-2644. [10.1016/j.jpaa.2011.03.007]
The bounded Lie Engel property on torsion group algebras
SPINELLI, ERNESTO
2011
Abstract
Let F be a field of characteristic different from 2 and G a group with involution *. Extend the involution to the group ring FG, and write (FG)^(-) for the Lie subalgebra of FG consisting of the skew elements. We classify the torsion groups G having no elements of order 2 such that (FG)^(-) is bounded Lie Engel.File allegati a questo prodotto
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