Schunck classes of soluble restricted Lie algebras

Mathematics – Rings and Algebras

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25 pages. Version 2 corrects a misprint. The explanation "$M \supseteq B$" given on p. 2 of Version 1 for "$M$ covers $B/C$" s

Scientific paper

Schunck classes, saturated formations and projectors were originally defined
for finite soluble groups for which they provided families of intravariant
subgroups. In this paper, I set out the analogous theory for finite-dimensional
soluble restricted Lie algebras and investigate its links to the corresponding
theory for ordinary Lie algebras over the same field.

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