On a maximal subgroup of the Thompson simple group

Ayoub Basheer Mohammed Basheer; Jamshid Moori

Vol. 20 No. 2 (2015)

Regular Articles

On a maximal subgroup of the Thompson simple group

Published 2015-10-02

Ayoub Basheer Mohammed Basheer
Jamshid Moori

Ayoub Basheer Mohammed Basheer
North-West University, South Africa

Jamshid Moori
North-West University, South Africa

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Abstract

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.

Keywords

Group extensions, character table, projective character, inertia groups, Fischer matrices

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Author Biography

Ayoub Basheer Mohammed Basheer

Post-Doctoral Fellow at the Department of Mathematical Sciences, North-West University (Mafikeng campus), South Africa.

Jamshid Moori

Senior Professor of Mathematics at the Department of Mathematical Sciences, North-West University, Mafikeng Campus.