Complete outer automorphism groups of free nilpotent groups

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

Authors

Publication Details

Journal
Publicationes Mathematicae Debrecen
Published
2025-04-01
DOI
https://doi.org/10.5486/pmd.2025.9997
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Complete outer automorphism groups of free nilpotent groups

Vladimir Tolstykh
Publicationes Mathematicae Debrecen
Finite Group Theory Research
article

Complete outer automorphism groups of free nilpotent groups

Vladimir Tolstykh
article en

Abstract

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

Publicationes Mathematicae DebrecenVol. 106(3-4)
Openalex Percentile: Top 90%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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Complete outer automorphism groups of free nilpotent groups — Vladimir Tolstykh · Publicationes Mathematicae Debrecen (2025) | TGRS Research Map | TGRS