Vol. 55, No. 1, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
The Journal
Editorial Board
Special Issues
Submission Guidelines
Submission Form
Author Index
To Appear
ISSN: 0030-8730
Characteristic ideals in group algebras

Indranand Sinha

Vol. 55 (1974), No. 1, 285–287

If FG is the group-algebra of a group G over a field F, and U is any subgroup of the automorphism group of the F-algebra FG, then an ideal I of FG, is called A-characteristic if Iα I,α A. If A is the whole automorphism group itself, then we merely say that I is characteristic. Then D.S. Passman has proved the following result: “Let HG such that G∕H is F-complete. Then for each characteristic ideal I of FG,I = (I FH)FG.” The main concern in this paper is to consider the converse of this result.

Mathematical Subject Classification
Primary: 16A26
Received: 18 April 1973
Published: 1 November 1974
Indranand Sinha