On the ring of quotients of a group ring

Passman, D. S.

doi:10.1090/S0002-9939-1972-0299634-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On the ring of quotients of a group ring
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by D. S. Passman PDF

Proc. Amer. Math. Soc. 33 (1972), 221-225 Request permission

Abstract:

In this paper the following extension of a result of Martha Smith is proved. Theorem. Let $K[G]$ be a group ring which is an order in a ring Q. Then the center of $K[G]$ is an order in the center of Q.

References

Donald S. Passman, Infinite group rings, Pure and Applied Mathematics, vol. 6, Marcel Dekker, Inc., New York, 1971. MR 0314951
Martha Smith, Group algebras, J. Algebra 18 (1971), 477–499. MR 277625, DOI 10.1016/0021-8693(71)90078-0