On the Ree groups $^2{}G_2(q)$ characterized by a size of a conjugacy class

Document Type : Research Paper

Authors

1 State Office of Education in Qaemiyeh, Fars Province, Iran.

2 Department of Mathematics, Payame Noor University, P. Box: 19395-3697, Tehran, Iran.

Abstract

One of the important problem in finite groups theory is group characterization by specific property. Properties, such as element order, the set of element with the same order, etc. In this paper, we prove that Ree group $^2{}G_2(q)$, where $q\pm\sqrt{3q}+1$ is a prime number can be uniquely determined by its order and one conjugacy class size.

Keywords

References

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Algebraic Structures and Their Applications
Volume 11, Issue 1
February 2024
Pages 165-171

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