5 citations · 13 across the 32 of their papers we have counts for
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On the Lengths of Certain Chains of Subalgebras in Lie Algebras
David A. Towers
In this paper we study the lengths of certain chains of subalgebras of a Lie algebra L: namely, a chief series, a maximal chain of minimal length, a chain of maximal length in whic…
On Conjugacy of Maximal Subalgebras of Solvable Lie Algebras
David A. Towers
The purpose of this paper is to consider when two maximal subalgebras of a finite-dimensional solvable Lie algebra are conjugate, and to investigate their intersection.
On abelian subalgebras and ideals of maximal dimension in supersolvable lie algebras
Manuel Ceballos, David A. Towers
In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maxim…
Complements of Intervals and Prefrattini Subalgebras of Solvable Lie Algebras
David A. Towers
In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gaschütz. The approach follows that of P. Hauck and H. Kurtzweil f…
Solvable Complemented Lie Algebras
David A. Towers
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomp…