Geodesic
Automorphisms of partially commutative metabelian groups
Algebra i logika, Tome 59 (2020) no. 2, pp. 239-259.

Voir la notice de l'article provenant de la source Math-Net.Ru

Automorphisms of a partially commutative metabelian group whose defining graph contains no cycles are studied. It is proved that an $IA$-automorphism of such a group is identical if it fixes all hanging and isolated vertices of the graph. The concepts of a factor automorphism and of a matrix automorphism are introduced. It is stated that every factor automorphism is represented as the product of an automorphism of the defining graph and a matrix automorphism.
Mots-clés : automorphism
Keywords: partially commutative group, metabelian group. 
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     title = {Automorphisms of partially commutative metabelian groups},
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     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_2_a4/}
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E. I. Timoshenko. Automorphisms of partially commutative metabelian groups. Algebra i logika, Tome 59 (2020) no. 2, pp. 239-259. http://geodesic.mathdoc.fr/item/AL_2020_59_2_a4/

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