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Characterizations of Chevalley groups using order of the finite groups

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Title: Characterizations of Chevalley groups using order of the finite groups

Authors: Abid Mahboob, Taswer Hussain, Misbah Akram, Sajid Mahboob, Nasir Ali, Ali Raza

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2020

Volume: 16

Issue: 1

Language: English

Keywords: Finite groupsChevalley groupsgroup order

Categories
Finite Groups (3) Linear Algebra (42) Abstract Algebra (137) Mathematics (5170) Group Theory (67)

Abstract

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

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