ANALOGUES OF THE FRATTINI SUBALGEBRA

Year 2011, Volume: 9 Issue: 9, 124 - 132, 01.06.2011

Kristen Stagg

Abstract

For a Lie algebra, L, the Frattini subalgebra F(L) is the intersection
of all maximal subalgebras of L. We develop two analogues of the Frattini
subalgebra, namely nF rat(L) and R(L). Specifically, we develop properties
involving non-generators, containment relations, and nilpotency.

Keywords

Frattini subalgebra, maximal ideals, non-generators

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• Department of Mathematics North Carolina State University Raleigh, NC USA e-mail: [e-mail]