Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

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
Stable URL: http://www.jstor.org/stable/2161747
Page Count: 7
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Endomorphism Rings of Simple Modules over Group Rings
Preview not available

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.

Page Thumbnails

  • Thumbnail: Page 
1043
    1043
  • Thumbnail: Page 
1044
    1044
  • Thumbnail: Page 
1045
    1045
  • Thumbnail: Page 
1046
    1046
  • Thumbnail: Page 
1047
    1047
  • Thumbnail: Page 
1048
    1048
  • Thumbnail: Page 
1049
    1049