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Strong containment of saturated formations of soluble Lie algebras

2012/08/08 by Donald W. Barnes, Barnes, Donald W.
Mathematics · #17B30 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:17B30

paper · pdf · doi:10.48550/arxiv.1208.1585

7 pages. Progress report correcting errors in earlier versions. Proves a weaker result than that originally claimed

openalex publication_date 2012/08/08 · arxiv created 2012/12/03 · arxiv updated 2012/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that, if H,K are saturated formations of soluble Lie algebras over a field of non-zero characteristic and H strongly contains K non-trivially, then H coincides with the formation generated by the L/N(L) for L in H, and that H is not locally defined.

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