Let FG be the group ring of a group G over a field F of characteristic different from 2, and let FG have an involution induced from one on G. Assuming that G has no elements of order 2 and no dihedral group involved, we determine the conditions under which the set of skew elements of FG is bounded Lie Engel. Furthermore, we make the determination with no restrictions upon G when the involution on FG is classical.

Group rings whose skew elements are bounded Lie Engel / Gregory T., Lee; Spinelli, Ernesto. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 219:8(2015), pp. 3181-3194. [10.1016/j.jpaa.2014.10.008]

Group rings whose skew elements are bounded Lie Engel

SPINELLI, ERNESTO
2015

Abstract

Let FG be the group ring of a group G over a field F of characteristic different from 2, and let FG have an involution induced from one on G. Assuming that G has no elements of order 2 and no dihedral group involved, we determine the conditions under which the set of skew elements of FG is bounded Lie Engel. Furthermore, we make the determination with no restrictions upon G when the involution on FG is classical.
2015
.
01 Pubblicazione su rivista::01a Articolo in rivista
Group rings whose skew elements are bounded Lie Engel / Gregory T., Lee; Spinelli, Ernesto. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 219:8(2015), pp. 3181-3194. [10.1016/j.jpaa.2014.10.008]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/607786
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