Home > Research > Publications & Outputs > Complements of intervals and prefrattini subalg...

Research

Associated organisational unit

Electronic data

Links

Text available via DOI:

Keywords

View graph of relations

Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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
Publication StatusPublished
<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