On some permutable products of supersoluble groups

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dc.contributor.authorAlejandre, Manuel
dc.contributor.authorBallester-Bolinches, Adolfo
dc.contributor.authorCossey, Peter (John)
dc.contributor.authorPedraza-Aguilera, M C
dc.date.accessioned2015-12-13T23:09:25Z
dc.date.available2015-12-13T23:09:25Z
dc.date.issued2004
dc.date.updated2015-12-12T08:19:06Z
dc.description.abstractIt is well known that a group G = AB which is the product of two supersoluble subgroups A and B is not supersoluble in general. Under suitable permutability conditions on A and B, we show that for any minimal normal subgroup N both AN and BN are supersoluble. We then exploit this to establish some sufficient conditions for G to be supersoluble.
dc.identifier.issn0213-2230
dc.identifier.urihttp://hdl.handle.net/1885/86987
dc.publisherUniversidad Autonoma de Madrid
dc.sourceRevista Matematica Iberoamericana
dc.subjectKeywords: Finite groups; Products; Subnormality; Supersolubility
dc.titleOn some permutable products of supersoluble groups
dc.typeJournal article
local.bibliographicCitation.issue2
local.bibliographicCitation.lastpage425
local.bibliographicCitation.startpage413
local.contributor.affiliationAlejandre, Manuel, Universidad Miguel Hernandez
local.contributor.affiliationBallester-Bolinches, Adolfo, Universitat de Valencia
local.contributor.affiliationCossey, Peter (John), College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationPedraza-Aguilera, M C, Universidad Politecnica de Valencia
local.contributor.authoruidCossey, Peter (John), u6800662
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010105 - Group Theory and Generalisations
local.identifier.ariespublicationMigratedxPub16069
local.identifier.citationvolume20
local.identifier.scopusID2-s2.0-4043133720
local.type.statusPublished Version

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