AN ALGEBRAIC STUDY OF NON-COMMUTATIVE GENERALLINEAR RHOTRIX GROUP

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dc.contributor.authorOKON, UBONG ENE
dc.date.accessioned2016-05-04T10:31:52Z
dc.date.available2016-05-04T10:31:52Z
dc.date.issued2016-01
dc.descriptionA DISSERTATIONSUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OFA MASTERS DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIAen_US
dc.description.abstractThis dissertation presents a studyof a certain algebraic system,termed: “Non-commutative general linear rhotrix group”. The groupis considered to be analogous to the well-known General Linear Group. The Non-commutative General Linear Rhotrix Group consists of all invertible rhotrices of size with entries from an arbitrary field F and it has beenshown to possessnon-commutative rhotrix groups as its subgroups. Certain subgroups of non-commutative general linear rhotrix group have also beenidentified and then shown to be embedded in some subgroups of the general linear group. Furthermore, some finite non-commutative groups of rhotrices as well as their subgroups areconstructed and shown as concrete examples. It is of interest that this study will go to a large extent in simplification of teaching and learning of group theory in Mathematical discipline.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/7821
dc.language.isoenen_US
dc.subjectALGEBRAIC STUDY,en_US
dc.subjectNON-COMMUTATIVE GENERALLINEAR,en_US
dc.subjectRHOTRIX GROUP,en_US
dc.titleAN ALGEBRAIC STUDY OF NON-COMMUTATIVE GENERALLINEAR RHOTRIX GROUPen_US
dc.typeThesisen_US
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