Geodesic
The image of the automorphism group of a~graph group under the abelianization map
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 83-102

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We consider “graph-groups”, i. e. groups given by genetic codes, containing only commutativity relations for certain pairs of generators. The image of the automorphism group of a graph-group under abelianization map is described.
Keywords: graph group, link digraph, algebraic $\mathbb Q$-group, Levy decomposition, reductive group, arithmetic group, Kazhdan's property $(T)$, Serre's property $(FA)$
Mots-clés : unipotent radical, automorphism group. 
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     author = {G. A. Noskov},
     title = {The image of the automorphism group of a~graph group under the abelianization map},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {83--102},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a7/}
}
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G. A. Noskov. The image of the automorphism group of a~graph group under the abelianization map. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 83-102. http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a7/