Relationships between certain properties of maximal subalgebras of a Lie algebra L and the structure of L itself have been studied by a number of authors. Amongst the maximal subalgebras, however, some exert a greater influence on particular results than others. Here we study properties of those maximal subalgebras that contain Engel subalgebras, and of those that also have codimension greater than one in L.
The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra
Volume 216, Issue 3, March 2012, Pages 688-693 © ELSEVIER.