Original scientific paper

On a maximal subgroup of the Thompson simple group

Ayoub Basheer Mohammed Basheer ; Department of Mathematical Sciences, North-West University (Mafikeng), Mmabatho, South Africa
Jamshid Moori ; Department of Mathematical Sciences, North-West University (Mafikeng), Mmabatho, South Africa

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

Hrčak ID:

149786

URI

https://hrcak.srce.hr/149786

Publication date:

18.12.2015.

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