Geodesic
Structure of the automorphism group for partially commutative class two nilpotent groups
Algebra i logika, Tome 49 (2010) no. 1, pp. 60-97

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Let $R$ be a ring, which is either a ring of integers or a field of zero characteristic. For every finite graph $\Gamma$, we construct an $R$-arithmetic linear group $H(\Gamma)$. The group $H(\Gamma)$ is realized as the factor automorphism group of a partially commutative class two nilpotent $R$-group $G_\Gamma$. Also we describe the structure of the entire automorphism group of a partially commutative nilpotent $R$-group of class two.
Mots-clés : automorphism group
Keywords: partially commutative nilpotent group, arithmetic group, commutativity graph. 
@article{AL_2010_49_1_a3,
     author = {V. N. Remeslennikov and A. V. Treier},
     title = {Structure of the automorphism group for partially commutative class two nilpotent groups},
     journal = {Algebra i logika},
     pages = {60--97},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_1_a3/}
}
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V. N. Remeslennikov; A. V. Treier. Structure of the automorphism group for partially commutative class two nilpotent groups. Algebra i logika, Tome 49 (2010) no. 1, pp. 60-97. http://geodesic.mathdoc.fr/item/AL_2010_49_1_a3/