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An addition to Ado’s theorem

An addition to Ado’s theorem

For the suggestion that this nilpotency property of p might be secured I am indebted to Leonard Ross who used the characteristic 0 case of Theorem 1 in his proof of Ado's Theorem for graded Lie algebras (Thesis, Cohomology of graded lie algebras, University of California, Berkeley, 1964). In the …