Vol. 53, No. 1, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Lifting Brauer characters of p-solvable groups

I. Martin (Irving) Isaacs

Vol. 53 (1974), No. 1, 171–188
Abstract

Let φ be an irreducible Brauer character for the prime p of the finite p-solvable group, G. By the Fong-Swan theorem, there exists an ordinary character, χ, which agrees with φ on p-regular elements. This cfiaracter is not, in general unique. It is proved here that χ can be chosen to be p-rational, i.e. its values lie in a field of the form Q[𝜖] with 𝜖n = 1 and p n. If p2, the character so chosen is unique and every irreducible constituent of its restriction to a normal subgroup is also p-rational and is modularly irreducible.

Mathematical Subject Classification 2000
Primary: 20C20
Milestones
Received: 23 July 1973
Revised: 10 October 1973
Published: 1 July 1974
Authors
I. Martin (Irving) Isaacs