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

نویسندگان
Rezaeezadeh, Gh.R. ID 1
Esmaeilzadeh, E. ID 2
Bibak, M. ID 3

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

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

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

doi
10.22044/jas.2019.7696.1377
چکیده

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 $G_{2}(q)$.

کلیدواژه‌ها
characterization, simple group, largest element order