On a quotient group 74:(3 * 2S7) of a 7-local subgroup of the Monster M
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Date
2023
Authors
Musyoka, David Mwanzia
Njuguna, Lydia Nyambura
Prins, Abraham Love
Chikamai, Lucy
Journal Title
Journal ISSN
Volume Title
Publisher
Palestine Journal of Mathematics
Abstract
The 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.
Description
article
Keywords
split extension, extra-special p-group, inertia factor group, fusion map, Fischer-Clifford matrices
Citation
Musyoka, 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.