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Endomorphism Rings of Simple Modules over Group Rings
Robert L. Snider
Proceedings of the American Mathematical Society
Vol. 124, No. 4 (Apr., 1996), pp. 1043-1049
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161747
Page Count: 7
You can always find the topics here!Topics: Mathematical rings, Algebra, Coefficients, Quaternion algebra, Mathematical theorems, Polynomials, Homomorphisms, Matrix identities
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If N is a finitely generated nilpotent group which is not abelian-by-finite, k a field, and D a finite dimensional separable division algebra over k, then there exists a simple module M for the group ring k[ G] with endomorphism ring D. An example is given to show that this cannot be extended to polycyclic groups.
Proceedings of the American Mathematical Society © 1996 American Mathematical Society