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Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

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Published
<mark>Journal publication date</mark>2013
<mark>Journal</mark>Proceedings of the American Mathematical Society
Issue number6
Volume141
Number of pages9
Pages (from-to)1893-1901
<mark>State</mark>Published
<mark>Original language</mark>English

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.

Bibliographic note

First published in Proceedings of the American Mathematical Society in Volume 141, (6), 2013, published by the American Mathematical Society