Nonsolvable Subalgebras ofReport as inadecuate

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Journal of Mathematics - Volume 2016 2016, Article ID 2570147, 17 pages -

Research Article

Department of Mathematics, Virginia Commonwealth University in Qatar, P.O. Box 8095, Doha, Qatar

Department of Mathematics, University of Toledo, Toledo, OH 43606, USA

Received 17 June 2016; Accepted 26 July 2016

Academic Editor: Rutwig Campoamor-Stursberg

Copyright © 2016 Ryad Ghanam and Gerard Thompson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


All the simple and then semisimple subalgebras of are found. Each such semisimple subalgebra acts by commutator on . In each case the invariant subspaces are found and the results are used to determine all possible subalgebras of that are not solvable.

Author: Ryad Ghanam and Gerard Thompson



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