Vol. 47, No. 2, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Vol. 298: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
On saturated formations of solvable Lie algebras

Ernest Lester Stitzinger

Vol. 47 (1973), No. 2, 531–538
Abstract

The concepts of formations, -projectors and ℱ− normalizers have all been developed for solvable Lie algebras. In this note, for each saturated formation of solvable Lie algebras, the class 𝒯 () of solvable Lie algebras L in which each -normalizer of L is an -projector is considered. This is the natural generalization of the Lie algebra analogue to SC groups which were first investigated by R. Carter. It is shown that 𝒯 () is a formation. Then some properties of -normalizers of L ∈𝒯 () are considered.

Mathematical Subject Classification 2000
Primary: 17B30
Milestones
Received: 8 June 1972
Published: 1 August 1973
Authors
Ernest Lester Stitzinger