Endomorphisms, automorphisms, primitive elements and orbits of free metabelian lie algebras
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Abstract (EN)
It is shown that in free metabelian Lie algebras on infinite field whith rank two endomorfizms which preserve automorphic orbits of a nonzero element are automophisms. Whith counter examples, this result is not true for free metabelian Lie algebras on finite fields.Key Words: Free Lie algebra, free metabelian Lie algebra, primitive elements,Automorphism group, automorphic orbit of an element.
Author
Pınar Tekinşen
How to Cite
Pınar Tekinşen (Master Thesis). Endomorphisms, automorphisms, primitive elements and orbits of free metabelian lie algebras, 2011, Çukurova University.
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