On the Suzuki Groups | Asian Journal of Pure and Applied Mathematics

Group characterisation by specific attribute is an important topic in finite group theory. Elements' order, the collection of elements with the same order, the greatest element order, and so on. Next, group characterisation is performed using the group's order and the number of members of order p, where p is the biggest prime divisor of |G|. This study will investigate Moreto's hypothesis on finite simple groups for this purpose. In other words, we show that suzuki groups Sz(q), where q = 22n+1, n 0 and p is the biggest prime divisor of |Sz(q)|, may be uniquely determined by |Sz(q)| and |S(p)|, where |S(p)| is the order the largest prime divisor of the suzuki groups.

Please see the link :- https://globalpresshub.com/index.php/AJPAM/article/view/1360