Hegaty s result of n-Lie algebras

In 1904, Schur proved his famous result that, for any group G, if G/Z(G) is finite then so is G^2. By replacing inner automorphisms by automorphisms, Hegarty proved the analog of Schur s result. In 1997 he could answer whether a converse of his theorem holds true.Two year later Stitzinger obtained a strong Lie algebras version of Hegarty s result. In this paper we present them results of $n$-Lie algebras.