A new characterization of Chevalley groups $\mathrm{G}_2(3^n)$ by the order of the group and the number of elements with the same order

نویسندگان
Shahbandarzadeh, Hamid ID 1
Ebrahimzadeh, Behnam ID 2

1 Department of Mathematics, Persian Gulf University, Bushehr, Iran

2 Department of Mathematics, Persian Gulf University, Bushehr, Iran

doi
10.22060/ajmc.2024.22566.1173
چکیده

In this paper, we prove that Chevalley groups $G_2(q)$, where $q=3^n$ and $q^2+q+1$ is a prime number, can be uniquely determined by the order of group and the number of elements with the same order.

کلیدواژه‌ها
Element order, prime graph, Chevalley group