Solvable subgroups of maximal order  of some finite simple groups of Lie type

Abdullah A. Abduh; Falih. A.M Aldosray

doi:10.24297/jam.v8i2.2556

Solvable subgroups of maximal order of some finite simple groups of Lie type

Authors

Abdullah A. Abduh Umm Al-Qura University Makkah P.O.Box 56199
Falih. A.M Aldosray Umm Al-Qura University Makkah P.O.Box 56199Department of Mathematics

DOI:

https://doi.org/10.24297/jam.v8i2.2556

Keywords:

Simple groups, Presentations, Representations, Characters

Abstract

The aim of this work is using the information in the ATLAS of Finite Groups and the GAP computational system , to determine the solvable subgroups of maximal orders in some finite non-abelian simple group of Lie type which have been appeared in the ATLAS. The (p,q,r)-generators , the structures and permutation representations of these subgroups have been found.

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Author Biographies

Abdullah A. Abduh, Umm Al-Qura University Makkah P.O.Box 56199

Department of MathematicsÂ

Falih. A.M Aldosray, Umm Al-Qura University Makkah P.O.Box 56199Department of Mathematics

Department of MathematicsÂ

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Published

2014-04-25

How to Cite

Abduh, A. A., & Aldosray, F. A. (2014). Solvable subgroups of maximal order of some finite simple groups of Lie type. JOURNAL OF ADVANCES IN MATHEMATICS, 8(2), 1498–1508. https://doi.org/10.24297/jam.v8i2.2556