This study examines the rank type of the finite group of G that in (G) = fSnjn 2 e (G) g, and define m nse(G) or be M G is the full-order set of members of e(G) and G in n number of elements of its order Sn. Shin showed that j (G) j = n is a group, whenever ○ n, G is a group is said Soluble. In addition, the structure of such groups (Group). In this case, j (G) j ⩽ n is a group, then G is n, and he conjectures that if the researcher examines the order type of the simple non-Abelian group G.? This study proves that whenever is a form with the alternating group G of G, it is four-element if and only if G Q and p are the first odd divisors of G. The thesis is proved that for any simple non-Abelian group the contents of this study are taken from Sp ̸= Sq.
Citation: Habibi R. (2023) The same order type ?? characterizing, International Journal of Mathematics and Statistics Studies, Vol.11, No.1, pp.23-29