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Publicationes Mathematicae Debrecen
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https://dx.doi.org/10.48550/ar...
Article . 2025
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Complete outer automorphism groups of free nilpotent groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2025Embargo end date: 01 Jan 2025Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 106, pages 419-443 (issn: 0033-3883, Copyright policy )
Authors: Vladimir A. Tolstykh;

doi: 10.5486/pmd.2025.9997 , 10.48550/arxiv.2505.12918

arXiv: 2505.12918

Complete outer automorphism groups of free nilpotent groups

Abstract

We prove that the outer automorphism group $\operatorname{Out}(N)$ of an infinitely generated free nilpotent group $N$ of class two is complete.

Keywords

Nilpotent groups, automorphism groups, FOS: Mathematics, outer automorphism groups, Automorphism groups of groups, 20F28, 20F18, free nilpotent groups, Group Theory (math.GR), Mathematics - Group Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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