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On a graph related to permutability in finite groups

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Ballester-Bolinches, Adolfo; Cossey, Peter (John); Esteban-Romero, R

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For a finite group G we define the graph Γ(G) to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes A, B are joined by an edge if for some A ∈ A, B ∈ B A and B permute. We characterise those group

dc.contributor.authorBallester-Bolinches, Adolfo
dc.contributor.authorCossey, Peter (John)
dc.contributor.authorEsteban-Romero, R
dc.date.accessioned2015-12-08T22:38:50Z
dc.identifier.issn0373-3114
dc.identifier.urihttp://hdl.handle.net/1885/35974
dc.description.abstractFor a finite group G we define the graph Γ(G) to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes A, B are joined by an edge if for some A ∈ A, B ∈ B A and B permute. We characterise those group
dc.publisherSpringer
dc.sourceAnnali di Matematica Pura ed Applicata
dc.subjectKeywords: Finite groups; Graphs; Permutability; Soluble groups
dc.titleOn a graph related to permutability in finite groups
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolumeOnline 4 December 2009
dc.date.issued2009
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationu9209279xPUB130
local.type.statusPublished Version
local.contributor.affiliationBallester-Bolinches, Adolfo, Universitat de Valencia
local.contributor.affiliationCossey, Peter (John), College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationEsteban-Romero, R, Universidad Politecnica de Valencia
local.description.embargo2037-12-31
local.bibliographicCitation.startpage4
local.identifier.doi10.1007/s10231-009-0124-7
dc.date.updated2016-02-24T11:54:37Z
local.identifier.scopusID2-s2.0-77955847570
CollectionsANU Research Publications

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