Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

Towers, David A. (2013) Complements of intervals and prefrattini subalgebras of solvable Lie algebras. Proceedings of the American Mathematical Society, 141 (6). pp. 1893-1901. ISSN 1088-6826

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Abstract

In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gasch¨utz. The approach follows that of P. Hauck and H. Kurtzweil for groups, by first considering complements in subalgebra intervals. Conjugacy of these subalgebras is established for a large class of solvable Lie algebras.

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the American Mathematical Society

Additional Information:

First published in Proceedings of the American Mathematical Society in Volume 141, (6), 2013, published by the American Mathematical Society

Uncontrolled Keywords:

/dk/atira/pure/core/keywords/mathsandstatistics

Subjects:

?? lie algebrascomplementedsolvablefrattini idealprefrattini subalgebraresidual.mathematics and statisticsapplied mathematicsgeneral mathematicsmathematics(all)qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

40224

Deposited By:

Dr David A. Towers

Deposited On:

21 Apr 2011 08:14

Refereed?:

Yes

Published?:

Published