Lancaster EPrints

Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

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.

[img]
Preview
PDF (complements_and_prefrattini_subalgebras_of_solvable_Lie_algebras-1.pdf)
Download (110Kb) | Preview
    [img]
    Preview
    PDF (Final Publisher version) - Published Version
    Download (154Kb) | Preview

      Abstract

      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.

      Item Type: Article
      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
      ID Code: 40224
      Deposited By: Dr David A. Towers
      Deposited On: 21 Apr 2011 09:14
      Refereed?: Yes
      Published?: Published
      Last Modified: 09 Oct 2013 12:43
      Identification Number:
      URI: http://eprints.lancs.ac.uk/id/eprint/40224

      Actions (login required)

      View Item