Complements of intervals and prefrattini subalgebras of solvable Lie algebras-Reference-Cited by-同舟云学术

Complements of intervals and prefrattini subalgebras of solvable Lie algebras

Published:2012-12-21 Issue:6 Volume:141 Page:1893-1901
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Towers David

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-06/S0002-9939-2012-11521-7/S0002-9939-2012-11521-7.pdf

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