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Schunck classes of soluble restricted Lie algebras

2006/10/20 by Donald W. Barnes, Barnes, Donald W.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research #math.RA #msc:17B30

paper · pdf · doi:10.48550/arxiv.math/0610609

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 "$M+C \supseteq B$"

arxiv created 2006/10/29 · arxiv updated 2009/12/01

Abstract

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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