Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleOn the Strong Nilpotence Problem.AuthorsSun, XiaosongAbstractIn this paper, we describe the structure of quadratic homogeneous polynomial maps F=X+H with JH3=0. As a consequence we show that in dimension n ≤ 6, JH is strongly nilpotent, or equivalently F=X+H is linearly triangularizable.SubjectsNILPOTENT groups; QUADRATIC forms; HOMOGENEOUS polynomials; LINEAR algebra; TRIANGULARIZATION (Mathematics); AUTOMORPHISMS; MATHEMATICAL mappingsPublicationAlgebra Colloquium, 2014, Vol 21, Issue 1, p117ISSN1005-3867Publication typeArticleDOI10.1142/S100538671400008X