THE FISCHER-CLIFORD MATRICES AND CHARACTER TABLE OF THE GROUP
Rauhi I. Elkhatib
Dept. of Mathematics, Faculty of Applied Science, Thamar University, Yemen
Published Online : 2022-12-30
Download Full Article : PDF Check for Updates
International Journal of Pure & Applied Mathematical Research
Online ISSN : 2456-7493
Frequency : Half Yearly
Current Issue : Volume 1 , Issue 2
2017
ABSTRACT
The split extension alternating group 
of order 161280 with index 28431 is a maximal subgroup of the orthogonal group 
of order 
.This Group has four inertia factor groups namely, 
,
, 
and 
of indices 1, 7, 21 and 35 respectively in . The aim of this paper is to construct the Fischer-Clifford matrices of , which together with the associated partial character tables of the inertia groups, are used to compute the full charter table of 
. There are 9Ficsher-Clifford matrices with sizes between 
and 
.
Mathematics Subject Classification: 20G15, 20C40.
Keywords: Linear Groups, Group Extensions, Character Table, Clifford Theory, Inertia Groups, Fischer-Clifford Matrix.
Int. J.of Pure & App Math. Res.