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Normal and subnormal subgroups in the group of units of group rings
Published online by Cambridge University Press: 17 April 2009
Abstract
Let KG be the group ring of the group G over the infinite field K, and let U(KG) be its group of units. If G is torsion, we obtain necessary and sufficient conditions for a finite subgroup H of G to be either normal or subnormal in U(KG). Actually, if H is subnormal in U(KG), we can handle not only the case H finite, but the precise assumptions depend on the characteristic of K.
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- Copyright © Australian Mathematical Society 1985
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