The ranks of the classes of the Chevalley groupG2(4)

نویسندگان
موحدی فاضل مرتضی ID 1
همتی خاطره ID 2
مهرافروز مایوان محمود ID 3
افضلی معین ID 4

1

2

3 دانشگاه علوم کشاورزی و منابع طبیعی ساری

4 دانشگاه مراغه

doi
10.22034/as.2025.21872.1730
چکیده

Let $G $ be a finite simple group and $X$ be a non-trivial conjugacy class of $G.$ The {rank} of $X$ in $G$, denoted by $rank(G{:}X),$ is defined to be the minimal number of elements of $X$ generating $G$. In this paper we establish the ranks of all the conjugacy classes of elements for Chevalley group $G_{2}(4)$ using the structure constants method. The Groups, Algorithms and Programming, GAP [14] is used frequently in our computations.

کلیدواژه‌ها
Ayoub Basheer Mohammed Basheer1, Malebogo John Motalane1, Mahlare G Sehoana1, Thekiso Trevor Seretlo2, Chevalley group, Conjugacy class, Rank, Structure constant