paper

Strong containment of saturated formations of soluble Lie algebras

arXiv:1208.1585

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.

arXiv comment7 pages. Progress report correcting errors in earlier versions. Proves a weaker result than that originally claimed

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