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Group Rings With Hypercentral Unit Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
Let KG be the group ring of a group G over a field K and let U(KG) be its group of units. If K has characteristic p > 0 and G contains p-elements, then it is proved that U(KG) is hypercentral if and only if G is nilpotent and G′ is a finite p-group.
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- Copyright © Canadian Mathematical Society 1991