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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 2, Pages 83–102
(Mi vngu121)
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This article is cited in 2 scientific papers (total in 2 papers)
The image of the automorphism group of a graph group under the abelianization map
G. A. Noskov Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
Abstract:
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, unipotent radical, reductive group, arithmetic group, Kazhdan's property $(T)$, Serre's property $(FA)$, automorphism group.
Received: 26.12.2009
Citation:
G. A. Noskov, “The image of the automorphism group of a graph group under the abelianization map”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 83–102
Linking options:
https://www.mathnet.ru/eng/vngu121 https://www.mathnet.ru/eng/vngu/v12/i2/p83
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