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Permutable products of supersoluble groups

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dc.contributor.authorAlejandre, Manuel
dc.contributor.authorBallester-Bolinches, Adolfo
dc.contributor.authorCossey, Peter (John)
dc.date.accessioned2015-12-13T22:50:29Z
dc.date.available2015-12-13T22:50:29Z
dc.date.issued2004
dc.date.updated2015-12-11T10:40:46Z
dc.description.abstractWe investigate the structure of finite groups that are the mutually permutable product of two supersoluble groups. We show that the supersoluble residual is nilpotent and the Fitting quotient group is metabelian. These results are consequences of our main theorem, which states that such a product is supersoluble when the intersection of the two factors is core-free in the group.
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/1885/80800
dc.publisherElsevier
dc.sourceJournal of Algebra
dc.titlePermutable products of supersoluble groups
dc.typeJournal article
local.bibliographicCitation.lastpage461
local.bibliographicCitation.startpage453
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.authoruidCossey, Peter (John), u6800662
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010105 - Group Theory and Generalisations
local.identifier.ariespublicationMigratedxPub9079
local.identifier.citationvolume276
local.identifier.doi10.1016/j.jalgebra.2003.01.002
local.identifier.scopusID2-s2.0-2942685577
local.type.statusPublished Version

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