Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Endomorphism rings of simple modules
over group rings

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

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16S34, 20C05, 16K20, 16S50

Retrieve articles in all journals with MSC (1991): 16S34, 20C05, 16K20, 16S50

Additional Information

Robert L. Snider
Affiliation: Department of Mathematics\ Virginia Tech \ Blacksburg, Virginia 24061-0123

PII: S 0002-9939(96)03368-0
Keywords: Group ring, endomorphism ring, division ring
Received by editor(s): October 17, 1994
Communicated by: Ken Goodearl
Article copyright: © Copyright 1996 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia