Parabolic and quasiparabolic subgroups of free partially commutative groups

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RECERCAT Home > Centres de Recerca de Catalunya (CERCA) > Centre de Recerca Matemàtica > Prepublicacions del Centre de Recerca Matemàtica > View document

Use this identifier to quote or link this document: http://hdl.handle.net/2072/5162

dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Duncan, A. J.
dc.contributor.author	Kazachkov, I. V.
dc.contributor.author	Remeslennikov, V. N.
dc.date.accessioned	2008-03-03T18:13:37Z
dc.date.available	2008-03-03T18:13:37Z
dc.date.created	2007-08
dc.date.issued	2007-08
dc.identifier.uri	http://hdl.handle.net/2072/5162
dc.format.extent	17
dc.format.extent	227959 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation.ispartofseries	Prepublicacions del Centre de Recerca Matemàtica;761
dc.rights	Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
dc.subject.other	Grups, Teoria dels
dc.title	Parabolic and quasiparabolic subgroups of free partially commutative groups
dc.type	info:eu-repo/semantics/preprint
dc.subject.udc	512 - Àlgebra
dc.description.abstract	Let Γ 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 Γ, 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.

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