Towers, David
(2016)
*On n-maximal subalgebras of Lie algebras.*
Proceedings of the American Mathematical Society, 144 (4).
pp. 1457-1466.
ISSN 0002-9939

## Abstract

A chain S_0 < S_1 < ... < S_n = L is a maximal chain if each S_i is a maximal subalgebra of S_{i+1}. The subalgebra S_0 in such a series is called an n-maximal subalgebra. There are many interesting results concerning the question of what certain intrinsic properties of the maximal subalgebras of a Lie algebra L imply about the structure of L itself. Here we consider whether similar results can be obtained by imposing conditions on the n-maximal subalgebras of L, where n>1.

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the American Mathematical Society

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2604

Subjects:

?? lie algebrasmaximal subalgebra$n$-maximal frattini ideal solvable supersolvablenilpotent applied mathematicsgeneral mathematicsmathematics(all) ??

Departments:

ID Code:

72942

Deposited By:

Deposited On:

13 Feb 2015 13:39

Refereed?:

Yes

Published?:

Published

Last Modified:

16 Jul 2024 09:41