Vol. 47, No. 2, 1973

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On saturated formations of solvable Lie algebras

Ernest Lester Stitzinger

Vol. 47 (1973), No. 2, 531–538

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
Received: 8 June 1972
Published: 1 August 1973
Ernest Lester Stitzinger