2014/10/08 by David A. Towers, Towers, David A.
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA
paper · pdf · doi:10.48550/arxiv.1410.2107
arxiv created 2014/12/02 · arxiv updated 2014/12/03
Let M be a maximal subalgebra of a Lie algebra L and A/B a chief factor of L such that B ⊆ M and A \not ⊆ M. We call the factor algebra M ∩ A/B a c-section of M. All such c-sections are isomorphic, and this concept is related those of c-ideals and ideal index previously introduced by the author. Properties of c-sections are studied and some new characterizations of solvable Lie algebras are obtained.