TY - JOUR
ID - 112777
TI - On a Maximal Subgroup 2^6:(3^. S6) of M24
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Chikopela, Dennis Siwila
AU - Seretlo, Thekiso Trevor
AD - Department of Mathematics, The Copperbelt University, Kitwe Campus, Zambia
AD - Department of Mathematical and Computer Sciences, University of Limpopo, Polokwane, South Africa
Y1 - 2022
PY - 2022
VL - 7
IS - 3
SP - 197
EP - 216
KW - Mathieu group
KW - Conjugacy classes
KW - Irreducible characters
KW - Fischer matrices
KW - Fusions
DO - 10.22052/mir.2022.243014.1300
N2 - The Mathieu group M24 has a maximal subgroup of the form G ̅=N:G, where N=26 and G=3. S6 ≅ 3. PGL2 (9). Using Atlas, we can see that M24 has only one maximal subgroup of type 26:(3. S6). The group is a split extension of an elementary abelian group, N=26 by a non-split extensionmgroup, G=3. S6. The Fischer matrices for each class representative of G are computed which together with character tables of inertia factor groups of G lead to the full character table of G ̅. The complete fusion of G ̅ into the parent group M24 has been determined using the technique of set intersections of characters.
UR - https://mir.kashanu.ac.ir/article_112777.html
L1 - https://mir.kashanu.ac.ir/article_112777_4e1f0384dc40e18b6b1c38cce416a193.pdf
ER -