Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Endomorphism rings of simple modules over group rings

Author(s): Robert L. Snider
Journal: Proc. Amer. Math. Soc. 124 (1996), 1043-1049.
MSC (1991): Primary 16S34, 20C05; Secondary 16K20, 16S50
MathSciNet review: 1327044
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Abstract: 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.

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