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On saturated formations
of solvable Lie algebras
Ernest Lester Stitzinger |
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Vol. 47 (1973), No. 2, 531–538
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Abstract |
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The concepts of formations, ℱ-projectors and ℱ− normalizers have all been developed for solvable Lie algebras. In this note, for each saturated formation ℱ of solvable Lie algebras, the class 𝒯 (ℱ) of solvable Lie algebras L in which each ℱ-normalizer of L is an ℱ-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 (ℱ) is a formation. Then some properties of ℱ-normalizers of L ∈𝒯 (ℱ) are considered. |
Mathematical Subject Classification 2000
Primary: 17B30
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Milestones
Received: 8 June 1972
Published: 1 August 1973
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Authors |
| Ernest Lester Stitzinger | |
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