Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2700

 Title: Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras Authors: Fιndιk, Şehmus Keywords: Free Lie AlgebrasFree Metabelian Nilpotent Lie AlgebrasInner AutomorphismsNormal Automorphisms Issue Date: 2010 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 35, No 2, (2010), 171p-210p Abstract: Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c). Description: 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40. URI: http://hdl.handle.net/10525/2700 ISSN: 1310-6600 Appears in Collections: Volume 36, Number 2

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