Let F be an infinite field of characteristic different from 2. Let G be a torsion group having an involution *, and consider the units of the group ring F G that are symmetric with respect to the induced involution. We classify the groups G such that these symmetric units satisfy a nilpotency identity (x1, ..., xn) = 1. © 2009 Elsevier B.V. All rights reserved.
Nilpotency of group ring units symmetric with respect to an involution / Gregory T., Lee; Sudarshan K., Sehgal; Spinelli, Ernesto. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 214:9(2010), pp. 1592-1597. [10.1016/j.jpaa.2009.12.004]
Nilpotency of group ring units symmetric with respect to an involution
SPINELLI, ERNESTO
2010
Abstract
Let F be an infinite field of characteristic different from 2. Let G be a torsion group having an involution *, and consider the units of the group ring F G that are symmetric with respect to the induced involution. We classify the groups G such that these symmetric units satisfy a nilpotency identity (x1, ..., xn) = 1. © 2009 Elsevier B.V. All rights reserved.File allegati a questo prodotto
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