ON THE ELEMENTARY AND BASIC CHARACTERS OF G\(_n\)(q)

Authors

  • Chrisper Chileshe North-West University - Mafikeng Campus
  • J. Moori North-West University (Mafikeng) - School of Mathematical Sciences
  • Thekiso T. Seretlo University of Limpopo (Turfloop)

Keywords:

general linear group, Sylow subgroup, Fischer matrices, irreducible characters, elementary and basic characters

Abstract

We discuss in this paper the elementary and basic characters of Gn(q).  The paper highlights the main idea that every irreducible character of Gn(q) appears uniquely in the basic characters.  In particular we determine the elementary and basic characters of G3(q) for any q.  As examples, the theory is also applied to G3(2), G3(3) and G4(2).

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Chileshe, C., Moori, J., & Seretlo, T. T. (2019). ON THE ELEMENTARY AND BASIC CHARACTERS OF G\(_n\)(q). Italian Journal of Pure and Applied Mathematics, 41, 223–241. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7133

Issue

N°41 - February 2019

Section

Articoli - Forum Editrice

License

Copyright (c) 2019 Chrisper Chileshe, J. Moori, Thekiso T. Seretlo

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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