1. On a quotient group 74:(3 ×2S7) of a 7-local subgroup of the Monster M.
- Author
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Musyoka, David Mwanzia, Njuguna, Lydia Nyambura, Prins, Abraham Love, and Chikamai, Lucy
- Subjects
GROUP extensions (Mathematics) ,ABELIAN groups ,KERNEL (Mathematics) ,CLIFFORD algebras - Abstract
The largest Sporadic simple group, the MonsterM, has a maximal-7-local subgroup 7
1+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. [ABSTRACT FROM AUTHOR]- Published
- 2023