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Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

By David A. Towers

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

Year: 2013
OAI identifier: oai:eprints.lancs.ac.uk:40224
Provided by: Lancaster E-Prints

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Citations

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