Geodesic
On a Presentation of the Automorphism Group of a Partially Commutative Metabelian Group
Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 286-295.

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Automorphisms of a partially commutative metabelian group $S_\Gamma$ defined by a finite simple graph $\Gamma$ with $r$ vertices are considered. The monoid $\mathcal P$ of matrices of order $r$ is equipped with a congruence $\approx$. It is proved that the group of automorphisms acting identically on the quotient group by the commutator subgroup $S_\Gamma/[S_\Gamma, S_\Gamma]$ is isomorphic to the quotient monoid $\mathcal P/\approx$.
Keywords: partially commutative metabelian group, simple graph, monoid
Mots-clés : automorphism group. 
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E. I. Timoshenko. On a Presentation of the Automorphism Group of a Partially Commutative Metabelian Group. Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 286-295. http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a10/

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