Show simple item record

dc.contributor.advisorMoori, J.
dc.contributor.authorPerumal, P.
dc.date.accessioned2021-02-23T11:37:18Z
dc.date.available2021-02-23T11:37:18Z
dc.date.issued2018
dc.identifier.urihttp://hdl.handle.net/10394/36760
dc.identifier.urihttps://orcid.org/0000-0003-1497-8192
dc.descriptionPhD (Mathematics), North-West University, Mafikeng Campus, 2018en_US
dc.description.abstractThe Double Frobenius group is the result of the action of a Frobenius group H = NH, with kernel N and complement H, on a finite group G. If the action of H on G is such that, N acts fixed point free on G and GN is also a Frobenius group with kernel G and complement N, then G = GNH = G: (N:H) = (G:N ):H is a double Frobenius group. In this study we briefly describe the structure of the double Frobenius group and then construct in general two double Frobenius groups which have the form 2n:(Z2n-1:Zn), where n is a prime such that 2n - 1 is a Mersenne prime and 22r:(Z2r_1:Z2), where 2 :S r EN respectively. We then proceed to analyse the two double Frobenius groups mentioned above, calculating the conjugacy classes, Fischer matrices and character table of the groups. The study is concluded by demonstrating these calculations of the conjugacy classes, Fischer matrices and character tables of two examples of each type of double Frobenius group, namely, 23:(Z7:Z3) and 25 :(Z31 :Zs) for the type 2n:(Z2n_ 1 :Zn) with n = 3 and n = 5 respectively, and 24:(Z3:Z2) and 26:(Z7:Z2) for the type 22r:(Z2r-1 :Z2) with r = 2 and r = 3 respectivelyen_US
dc.language.isoenen_US
dc.publisherNorth-West University (South Africa)en_US
dc.titleOn the double frobenius groups and their charactersen_US
dc.typeThesisen_US
dc.description.thesistypeDoctoralen_US
dc.contributor.researchID16434188 - Moori, Jamshid (Supervisor)


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record