Schunck classes of soluble restricted Lie algebras
Abstract
Description
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.
25 pages. Version 2 corrects a misprint. The explanation "$M \supseteq B$" given on p. 2 of Version 1 for "$M$ covers $B/C$" should be "$M+C \supseteq B$"
25 pages. Version 2 corrects a misprint. The explanation "$M \supseteq B$" given on p. 2 of Version 1 for "$M$ covers $B/C$" should be "$M+C \supseteq B$"