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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Minimal non-elementary Lie algebras


Authors: Kristen Stagg and Ernest Stitzinger
Journal: Proc. Amer. Math. Soc. 139 (2011), 2435-2437
MSC (2010): Primary 17B30
Published electronically: December 23, 2010
MathSciNet review: 2784809
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Abstract: Minimal non-elementarty finite groups must be nilpotent. The Lie algebra analogue admits non-nilpotent examples. We classify them for complex solvable Lie algebras.


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Additional Information

Kristen Stagg
Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
Email: klstagg@ncsu.edu

Ernest Stitzinger
Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
Email: stitz@math.ncsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10711-6
PII: S 0002-9939(2010)10711-6
Keywords: Minimal non-elementary Lie algebras, Frattini subalgebras
Received by editor(s): January 28, 2010
Received by editor(s) in revised form: July 16, 2010
Published electronically: December 23, 2010
Communicated by: Gail R. Letzter
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.