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arXiv · 1104.3774

Complements of Intervals and Prefrattini Subalgebras of Solvable Lie Algebras

David A. Towers
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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.

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David A. Towers. 2011-04-19. Complements of Intervals and Prefrattini Subalgebras of Solvable Lie Algebras. https://arxiv.org/abs/1104.3774

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