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Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems

dc.contributor.authorPark, Sejong
dc.date.accessioned2013-10-14T12:15:05Z
dc.date.available2013-10-14T12:15:05Z
dc.date.issued2011
dc.identifier.citationPark, Sejong (2011) 'Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems'. J. Algebra, 336 :349-369.en_US
dc.identifier.issn0021-8693
dc.identifier.urihttp://dx.doi.org/10.1016/j.jalgebra.2011.04.005
dc.identifier.urihttp://hdl.handle.net/10379/3728
dc.descriptionJournal articleen_US
dc.description.abstractContinuing our previous work (Park, 2010) [2], we determine a minimal left characteristic biset X for every exotic fusion system FF on the extraspecial group S of order 73 and exponent 7 discovered by Ruiz and Viruel (2004) , and analyze the finite group G obtained from X by the method of Park (2010) which realizes FF as the full subcategory of the 7-fusion system of G. In particular, we obtain an upper bound for the exoticity index for FF.en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJ. Algebraen
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectFusion systemsen_US
dc.subjectExotic fusion systemsen_US
dc.subjectExoticity indexen_US
dc.titleMinimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systemsen_US
dc.typeArticleen_US
dc.date.updated2013-10-09T17:37:41Z
dc.identifier.doi10.1016/j.jalgebra.2011.04.005
dc.local.publishedsourcehttp://dx.doi.org/10.1016/j.jalgebra.2011.04.005en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid5117860
dc.local.contactSejong Park, School Of Mathematics,Statistics, & Applied Mathematics, Nui Galway. Email: sejong.park@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionACCEPTED
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland