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.File | Dimensione | Formato | |
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