The present paper deals with a maximal subgroup of the Thompson group, namely the group $2^{1+8}_{+}{^{\cdot}}A_{9}:= \overline{G}.$ We compute its conjugacy classes using the coset analysis method, its inertia factor groups and Fischer matrices, which are required for the computations of the character table of $\overline{G}$ by means of Clifford-Fischer Theory.
Publié le : 2015-11-08
Classification:
Group extensions, character table, projective character, inertia groups, Fischer matrices,
20C15, 20C40
@article{mc424,
author = {Basheer, Ayoub Basheer Mohammed and Moori, Jamshid},
title = {On a maximal subgroup of the Thompson simple group},
journal = {Mathematical Communications},
volume = {20},
number = {1},
year = {2015},
pages = { 201-218},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc424}
}
Basheer, Ayoub Basheer Mohammed; Moori, Jamshid. On a maximal subgroup of the Thompson simple group. Mathematical Communications, Tome 20 (2015) no. 1, pp. 201-218. http://gdmltest.u-ga.fr/item/mc424/