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Matematicheskie Zametki, 2020, Volume 108, Issue 1, paper published in the English version journal (Mi mzm12410)  

Papers published in the English version of the journal

On Certain Automorphism Groups of Finitely Generated Groups

Sandeep Singh

Deparment of Mathematics, Akal University, Talwandi Sabo, Punjab, 151003 India
Abstract: Let $G$ be a group, and let $\operatorname{Hom}(G,N)$ be the group of all homomorphisms of $G$ into an Abelian subgroup $N$ of $G$. We give here a necessary condition for finitely generated groups to satisfy the condition that $\operatorname{Hom}(G/L,N)$ is isomorphic to $G/M$, where $L\le M$, $L$ and $M$ are normal subgroups of $G$. Consequently, we also extend some existing results on equality of two automorphism groups.
Keywords: homomorphism group, nilpotent group, absolute central automorphisms.
Received: 12.04.2019
Revised: 29.04.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 1, Pages 142–145
DOI: https://doi.org/10.1134/S0001434620070147
Bibliographic databases:
Document Type: Article
MSC: 05C60, 20F18
Language: English
Citation: Sandeep Singh, “On Certain Automorphism Groups of Finitely Generated Groups”, Math. Notes, 108:1 (2020), 142–145
Citation in format AMSBIB
\Bibitem{Sin20}
\by Sandeep Singh
\paper On Certain Automorphism Groups of Finitely Generated Groups
\jour Math. Notes
\yr 2020
\vol 108
\issue 1
\pages 142--145
\mathnet{http://mi.mathnet.ru/mzm12410}
\crossref{https://doi.org/10.1134/S0001434620070147}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088974654}
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