Algebra Seminar

Let F be a saturated formation of soluble Lie algebras and let L \in F. Let V be an F-excentric L-module. It has long been known that Hⁿ(L, V) = 0 for n=0,1,2 and for all n in many special cases. I can now prove this always holds. The proof involves an interesting use of the Hochschild-Serre spectral sequence.