Characterizations of Chevalley groups using order of the finite groups

Authors

  • Abid Mahboob Department of Mathematics, Division of Science and Technology, University of Education Lahore, Pakistan.
  • Taswer Hussain GHSS Shergarh, Okara Pakistan.
  • Misbah Akram Department of Mathematics, GCU, Lahore, Pakistan.
  • Sajid Mahboob Department of Mathematics, The University of Education Lahore, Pakistan.
  • Nasir Ali Department of Mathematics, The University of Education Lahore, Pakistan.
  • Ali Raza Department of Mathematics, The University of Education Lahore, Pakistan.

Keywords:

Chevalley groups, Finite groups, Simple groups, Element orders

Abstract

In this paper, we prove ψ(A1(4))<ψ(G)ψ(A1(4))<ψ(G), ∀∀ groups which are not simple with order sixty, A1(4)A1(4) is Chevalley group (Linear group) of order 60. Also we prove that ψ(A2(2))<ψ(G)ψ(A2(2))<ψ(G) using higher order non-simple groups of order 168.

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Published

2020-06-30

Issue

Vol. 16 No. 1 (2020): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Characterizations of Chevalley groups using order of the finite groups. (2020). Journal of Prime Research in Mathematics, 16(1), 46 – 51. https://jprm.sms.edu.pk/index.php/jprm/article/view/152