Complements of intervals and prefrattini subalgebras of solvable Lie algebras
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- by David A. Towers
- Proc. Amer. Math. Soc. 141 (2013), 1893-1901
- DOI: https://doi.org/10.1090/S0002-9939-2012-11521-7
- Published electronically: December 21, 2012
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Abstract:
In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gaschütz. The approach follows that of P. Hauck and H. Kurzweil for groups by first considering complements in subalgebra intervals. Conjugacy of these subalgebras is established for a large class of solvable Lie algebras.References
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Bibliographic Information
- David A. Towers
- Affiliation: Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England
- MR Author ID: 173875
- Email: d.towers@lancaster.ac.uk
- Received by editor(s): September 9, 2011
- Received by editor(s) in revised form: September 21, 2011
- Published electronically: December 21, 2012
- Communicated by: Kailash C. Misra
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 1893-1901
- MSC (2010): Primary 17B05, 17B30, 17B50
- DOI: https://doi.org/10.1090/S0002-9939-2012-11521-7
- MathSciNet review: 3034416