TY - JOUR
ID - 4955
TI - On a maximal subgroup of the Symplectic group Sp(4,4)
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Basheer, Ayoub Basheer Mohammed
AD - Department of Mathematics
University of Limpopo
Y1 - 2023
PY - 2023
VL - 4
IS - 1
SP - 17
EP - 26
KW - Group extensions
KW - Symplectic group
KW - inertia groups
KW - Fischer matrices
KW - character table
DO - 10.22060/ajmc.2022.21693.1099
N2 - This paper is dealing with a split extension group of the form 26:(3 x A5), which is the largest maximal subgroup of the Symplectic group Sp(4,4). We refer to this extension by bar{G} . We firstly determine the conjugacy classes of bar{G} using the coset analysis technique. The structures of inertia factor groups were determined. We then compute the Fischer matrices of bar{G} and apply the Clifford-Fischer theory to calculate the ordinary character table of this group. The Fischer matrices of bar{G} are all integer valued, with sizes ranging from 1 to 4. The full character table of bar{G} is 26 x 26 complex valued matrix and is given at the end of this paper.
UR - https://ajmc.aut.ac.ir/article_4955.html
L1 - https://ajmc.aut.ac.ir/article_4955_f2630b0b4095ccc2ab8d2836668b1eaf.pdf
ER -