Free two-step nilpotent groups whose automorphism group is complete

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dc.creatorTolstykh, Vladimir
dc.date2007-01-25
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:02Z
dc.date.available2026-07-07T09:53:02Z
dc.descriptionDyer and Formanek (1976) proved that if N is a free nilpotent group of class two and of finite rank which is not equal to 1, or to 3, then the automorphism group Aut(N) of N is complete. The main result of the present paper states that the automorphism group of any infinitely generated free nilpotent group of class two is also complete.
dc.descriptionA pre-publication preprint of a paper published in `2001
dc.identifierhttps://arxiv.org/abs/math/0701751
dc.identifierhttp://arxiv.org/abs/math/0701751
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165806
dc.subjectGroup Theory
dc.subject20F28, 20F18
dc.titleFree two-step nilpotent groups whose automorphism group is complete
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