Parabolic and Quasiparabolic Subgroups of Free Partially Commutative Groups

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dc.creatorDuncan, A. J.
dc.creatorKazachkov, I. V.
dc.creatorRemeslennikov, V. N.
dc.date2007-02-14
dc.date.accessioned2026-07-07T07:46:55Z
dc.date.available2026-07-07T07:46:55Z
dc.descriptionLet S be a finite graph and G be the corresponding free partially commutative group. In this paper we study subgroups generated by vertices of the graph S, which we call canonical parabolic subgroups. A natural extension of the definition leads to canonical quasiparabolic subgroups. It is shown that the centralisers of subsets of G are the conjugates of canonical quasiparabolic centralisers satisfying certain graph theoretic conditions.
dc.description18 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0702431
dc.identifierhttp://arxiv.org/abs/math/0702431
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123989
dc.subjectGroup Theory
dc.subject20F36 (Primary) 20E15 (Secondary)
dc.titleParabolic and Quasiparabolic Subgroups of Free Partially Commutative Groups
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