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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

Jairo Zacarias Goncalves
Jairo Zacarias Goncalves
Affiliation:
Instituto de Mat e Estatistica, Universidade de Sao Paulo, Cx Postal 20570 Ag Iguatemi, 01000 Sao Paulo, Brasil.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 3 , June 1985 , pp. 355 - 363
Copyright
Copyright © Australian Mathematical Society 1985

References

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