Orthogonal Systems in Finite Graphs

Simple item page
dc.creatorDuncan, Andrew J
dc.creatorKazachkov, Ilya V
dc.creatorRemeslennikov, Vladimir N
dc.date2007-07-01
dc.date.accessioned2026-07-07T08:13:16Z
dc.date.available2026-07-07T08:13:16Z
dc.descriptionGiven a finite graph G there is a corresponding group given by the presentation with generators the vertices of G and a relation [x,y]=1 for generators x and y precisely when (x,y) is an edge of G. Such groups are known as partially commutative groups (or right-angled Artin groups). In this paper we construct orthogonality theory for graphs with the study of partially commutative groups in mind. The theory developed here provides tools for the study of the structure of the centraliser lattice of partially commutative groups and for their automorphism groups.
dc.description38 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0707.0087
dc.identifierhttp://arxiv.org/abs/0707.0087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132747
dc.subjectGroup Theory
dc.subject20F05
dc.titleOrthogonal Systems in Finite Graphs
dc.typetext

Files

Collections

arXiv