TY - JOUR
ID - 459
TI - On the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Moori, J.
AU - Seretlo, T.
AD - University of North-West, Mafikeng, South Africa
Y1 - 2013
PY - 2013
VL - 39
IS - 5
SP - 1037
EP - 1052
KW - Group extensions
KW - Lyons group
KW - character table
KW - Clifford theory Fischer-Clifford matrices
DO -
N2 - The non-split extension group $overline{G} = 5^3{^.}L(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in Ly. The group $overline{G}$ in turn has L(3,5) and $5^2{:}2.A_5$ as inertia factors. The group $5^2{:}2.A_5$ is of order 3 000 and is of index 124 in L(3,5). The aim of this paper is to compute the Fischer-Clifford matrices of $overline{G}$, which together with associated partial character tables of the inertia factor groups, are used to compute a full character table of $overline{G}$. A partial projective character table corresponding to $5^2{:}2A_5$ is required, hence we have to compute the Schur multiplier and projective character table of $5^2{:}2A_5$.
UR - http://bims.iranjournals.ir/article_459.html
L1 - http://bims.iranjournals.ir/article_459_58273f9efd05d9a6da2fc3790b5110c6.pdf
ER -