Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6714
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dc.contributor.authorKaur, Dilpreeten_US
dc.contributor.authorSharma, Uday Bhaskaren_US
dc.contributor.authorSINGH, ANUPAM KUMARen_US
dc.date.accessioned2022-04-04T08:56:45Z
dc.date.available2022-04-04T08:56:45Z
dc.date.issued2021-08en_US
dc.identifier.citationJournal of Algebra and Its Applicationsen_US
dc.identifier.issn0219-4988en_US
dc.identifier.issn1793-6829en_US
dc.identifier.urihttps://doi.org/10.1142/S0219498822502310en_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6714
dc.description.abstractThis paper concerns the enumeration of simultaneous conjugacy classes of k-tuples of commuting matrices in the upper triangular group Tn(Fq) and unitriangular group UTm(Fq) over the finite field Fq of odd characteristic. This is done for n=2,3,4 and m=3,4,5, by computing the branching rules. Further, using the branching matrix thus computed, we explicitly get the commuting probabilities cpk for k≤5 in each case.en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publishingen_US
dc.subjectTriangular groupen_US
dc.subjectUnitriangular groupen_US
dc.subjectCommuting tuples of matricesen_US
dc.subjectBranching rulesen_US
dc.subjectCommuting probabilityen_US
dc.subject2021en_US
dc.titleBranching rules and commuting probabilities for Triangular and Unitriangular matricesen_US
dc.typeArticleen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.identifier.sourcetitleJournal of Algebra and Its Applicationsen_US
dc.publication.originofpublisherForeignen_US
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