5 citations · 13 across the 32 of their papers we have counts for
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Chief factors of Lie algebras
David A. Towers
In group theory the chief factors allow a group to be studied by its representation theory on particularly natural irreducible modules. It is to be expected, therefore, that they w…
The generalised nilradical of a Lie algebra
David A Towers
A solvable Lie algebra L has the property that its nilradical N contains its own centraliser. This is interesting because gives a representation of L as a subalgebra of the derivat…
On complemented non-abelian chief factors of a Lie algebra
David A. Towers, Zekiye Ciloglu
The number of Frattini chief factors or of chief factors which are complemented by a maximal subalgebra of a finite-dimensional Lie algebra is the same in every chief series fo…
On maximal subalgebras and a generalised Jordan-Hölder Theorem for Lie algebras
David A. Towers
The purpose of this paper is to continue the study of chief factors of a Lie algebra and to prove a further strengthening of the Jordan-Hölder Theorem for chief series.
On n-maximal subalgebras of Lie algebras
David A. Towers
A chain is a {\em maximal chain} if each is a maximal subalgebra of . The subalgebra in such a series is called an {\em -maxi…