| Abstract: | Centers of integral group rings are studied. The notion of a class character ring is introduced and made use of in describing
centers of integral group rings. With every automorphism of a character field, associated is an automorphism of the center
of an integral group ring. The norm of a central element of an integral group ring is determined and used to obtain invertibility
criteria for central elements.
Supported by RFFR grant No. 99-01-00550.
Translated fromAlgebra i Logika, Vol. 39, No. 5, pp. 513–525, September–October, 2000. |
