Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587699 | Journal of Algebra | 2009 | 13 Pages |
Abstract
Let ∗ be an involution of a group G extended linearly to the group algebra KG. We prove that if G contains no 2-elements and K is a field of characteristic p≠2, then the ∗-symmetric elements of KG are Lie nilpotent (Lie n-Engel) if and only if KG is Lie nilpotent (Lie n-Engel).
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory