Separating Sets for the Unitary Group U2(Fq2)

dc.contributor.authorAyekple, Yao Elikem
dc.date.accessioned2016-11-08T10:58:11Z
dc.date.accessioned2023-04-19T12:51:52Z
dc.date.available2016-11-08T10:58:11Z
dc.date.available2023-04-19T12:51:52Z
dc.date.issuedOctober,2015
dc.descriptionA thesis submitted to The Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the degree of Doctor of Philosophy Mathematicsen_US
dc.description.abstractA separating set for a group G with respect to the group CG is a set of simultaneously diagonalisable linear operators fT 1 ; :::; Tr g of C that distinguish the invariant subspaces of CG with their eigenspaces. In this thesis, we study the character table of the irreducible representation of the unitary group G and construct the modi ed character table which consists of the eigenvalues that the class sum of each conjugacy class of G assigns to an irreducible representation of G: The separating set for G is then obtained by extracting the class sums which is associated to each irreducible character distinct pair of eigenvalues.en_US
dc.description.sponsorshipKNUSTen_US
dc.identifier.urihttps://ir.knust.edu.gh/handle/123456789/9648
dc.language.isoenen_US
dc.titleSeparating Sets for the Unitary Group U2(Fq2)en_US
dc.typeThesisen_US
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