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

Simple item page
dc.creatorEndimioni, G.
dc.date2007-06-04
dc.date.accessioned2026-07-07T08:04:02Z
dc.date.available2026-07-07T08:04:02Z
dc.descriptionAmong 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0706.0408
dc.identifierhttp://arxiv.org/abs/0706.0408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129802
dc.subjectGroup Theory
dc.subject20E36, 20F16, 20F28
dc.titleAutomorphisms fixing every normal subgroup of a nilpotent-by-abelian group
dc.typetext

Files

Collections

arXiv