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Group Rings With Hypercentral Unit Groups

Published online by Cambridge University Press:  20 November 2018

David M. Riley
David M. Riley*
Affiliation:
Department of Mathematics, University of Alberta Edmonton, Alberta T6G 2G1
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Abstract

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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.

Keywords

16A2720C07
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 2 , 01 April 1991 , pp. 425 - 434
Copyright
Copyright © Canadian Mathematical Society 1991

References

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