On a quotient group 74:(3 * 2S7) of a 7-local subgroup of the Monster M

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dc.contributor.authorMusyoka, David Mwanzia
dc.contributor.authorNjuguna, Lydia Nyambura
dc.contributor.authorPrins, Abraham Love
dc.contributor.authorChikamai, Lucy
dc.date.accessioned2023-07-11T07:10:52Z
dc.date.available2023-07-11T07:10:52Z
dc.date.issued2023
dc.descriptionarticleen_US
dc.description.abstractThe largest Sporadic simple group, the MonsterM, has a maximal-7-local subgroup 71+4 + :(3 2S7) of order 508243680 = 25:33:5:76. In this paper, the Fischer-Clifford matrices and associated ordinary character table of the quotient group G = 71+4 + :(3 2S7) 71+4 + = 74:(3 2S7) will be computed. We have few, if any, examples in the literature, where the Fischer-Clifford matrices technique is applied to an extension with the kernel being an elementary abelian 7-group. There are quite a number of examples with the kernel of the extension group an elementary abelian 2, 3 or 5-group.en_US
dc.identifier.citationMusyoka, D.M., Njuguna, L.N., Prins, A.L. and Chikamai, L., 2023. On a quotient group 7 4:(3× 2S7) of a 7-local subgroup of the Monster M. group, 1(71), p.4.en_US
dc.identifier.urihttps://pjm.ppu.edu/sites/default/files/papers/PJM_Feb_2022_14_to_29.pdf
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/26150
dc.language.isoenen_US
dc.publisherPalestine Journal of Mathematicsen_US
dc.subjectsplit extensionen_US
dc.subjectextra-special p-groupen_US
dc.subjectinertia factor groupen_US
dc.subjectfusion mapen_US
dc.subjectFischer-Clifford matricesen_US
dc.titleOn a quotient group 74:(3 * 2S7) of a 7-local subgroup of the Monster Men_US
dc.typeArticleen_US
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