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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Complements of intervals and prefrattini subalgebras of solvable Lie algebras
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by David A. Towers PDF
Proc. Amer. Math. Soc. 141 (2013), 1893-1901 Request permission

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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Additional 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