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.
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Official URL: http://dx.doi.org/10.1090/S0002-9939-2012-11521-7
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: | 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: | Lie algebras ; complemented ; solvable ; Frattini ideal ; prefrattini subalgebra ; residual. |
| Subjects: | Q Science > 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 09:14 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 04 Apr 2013 09:38 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/40224 |
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