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. 
@article{AL_2020_59_2_a4,
     author = {E. I. Timoshenko},
     title = {Automorphisms of partially commutative metabelian groups},
     journal = {Algebra i logika},
     pages = {239--259},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {2020},
     language = {ru},
     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/