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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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.
|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|
|Deposited By:||Dr David A. Towers|
|Deposited On:||21 Apr 2011 09:14|
|Last Modified:||04 Apr 2013 09:38|
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