Article ID Journal Published Year Pages File Type
4664172 Acta Mathematica Scientia 2010 7 Pages PDF
Abstract

The well-known tower theorem of groups (resp. Lie algebras) shows that the tower of automorphism groups (resp. derivation algebras) of a finite group (resp. a finite dimensional Lie algebra) with trivial center terminates after finitely many steps. We generalize these results for Lie rings, and present some necessary and sufficient conditions for Lie rings to be complete.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)