Automorphisms of Partially Commutative Groups I: Linear Subgroups

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dc.creatorDuncan, Andrew J.
dc.creatorKazachkov, Ilya V.
dc.creatorRemeslennikov, Vladimir N.
dc.date2008-03-14
dc.date.accessioned2026-07-07T09:26:54Z
dc.date.available2026-07-07T09:26:54Z
dc.descriptionThe goal of this paper is to construct and describe certain arithmetic subgroups of the automorphism group of a partially commutative group. More precisely, given an arbitrary finite graph $Γ$ we construct an arithmetic subgroup $St(L(G))$, represented as a subgroup of $GL(n,Z)$, where $n$ is the number of vertices of the graph $Γ$. In the last section of the paper we give a description of the decomposition of the group of automorphisms $St^{conj}(L(G))$ as a semidirect product of the group of conjugating automorphisms $Conj(G)$ and $St(L(G))$. This result is closely related to Theorem 1.4 of the paper arXiv:0710.2573v1.
dc.description24 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0803.2213
dc.identifierhttp://arxiv.org/abs/0803.2213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156918
dc.subjectGroup Theory
dc.subject20E36; 20E36; 20F65
dc.titleAutomorphisms of Partially Commutative Groups I: Linear Subgroups
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