A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395- 3697, Tehran, Iran.

2 Faculty of Mathematical Sciences, Department of Pure Mathematics, University of Shahrekord, P.O. Box 88186-34141, Shahrekord, Iran.

Abstract

In this paper, we prove that every finite group $ G $ with the same order and largest element order as 
$G_{2}(q)$, where $ q\leq 11 $ is necessarily isomorphic to the group $G_{2}(q)$.

Keywords

References

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Journal of Algebraic Systems
Volume 8, Issue 1
September 2020
Pages 103-111

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