Geodesic
Primitive elements and automorphisms of the free metabelian group of rank $3$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 61-76

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The purpose of this article is twofold. On the one hand, we give an overview of the known results on primitive elements and automorphisms of a very specific free metabelian group $M_3$ of rank $3$. On the other hand, we present new results, at the same time showing the work of non-standard research tools of studying of this group.
Keywords: free metabelian group, primitive element.
Mots-clés : matrix group 
@article{SEMR_2020_17_a3,
     author = {V. A. Roman'kov},
     title = {Primitive elements and automorphisms of the free metabelian group of rank $3$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {61--76},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a3/}
}
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V. A. Roman'kov. Primitive elements and automorphisms of the free metabelian group of rank $3$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 61-76. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a3/