Group Identities on Units of Group Algeb
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A. Giambruno; S.K. Sehgal; A. Valenti
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Article
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2000
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Elsevier Science
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English
β 178 KB
Let U be the group of units of the group algebra FG of a group G over a field F. Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a c