Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664172 | Acta Mathematica Scientia | 2010 | 7 Pages |
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.
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Mathematics
Mathematics (General)