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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     author = {E. I. Timoshenko},
     title = {On a {Presentation} of the {Automorphism} {Group} of a {Partially} {Commutative} {Metabelian} {Group}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {286--295},
     publisher = {mathdoc},
     volume = {97},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a10/}
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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/