Automorphisms fixing every normal subgroup of a nilpotent-by-abelian group

G. Endimioni

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arXiv · 0706.0408

Automorphisms fixing every normal subgroup of a nilpotent-by-abelian group

G. Endimioni

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Abstract

Among other things, we prove that the group of automorphisms fixing every normal subgroup of a nilpotent-by-abelian group is nilpotent-by-metabelian. In particular, the group of automorphisms fixing every normal subgroup of a metabelian group is soluble of derived length at most 3. An example shows that this bound cannot be improved.

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BibTeX RIS

G. Endimioni. 2007-06-04. Automorphisms fixing every normal subgroup of a nilpotent-by-abelian group. https://arxiv.org/abs/0706.0408

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