Vol. 55, No. 1, 1974

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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