Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588157 | Journal of Algebra | 2007 | 9 Pages |
Abstract
Let K be an infinite field of characteristic p≠2, G a locally finite group and KG its group algebra. Let denote the K-linear extension of an involution φ defined on G. In this paper we prove, under some assumptions, that if the set of φ-symmetric units of KG satisfies a group identity then KG satisfies a polynomial identity. Moreover, in case the prime radical of KG is nilpotent we characterize the groups for which the φ-symmetric units satisfy a group identity.
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