Author/Authors :
Ebrahimzadeh، B. نويسنده 1Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran Ebrahimzadeh, B. , Tehranian، A. نويسنده , , Iranmanesh، A. نويسنده 2Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran Iranmanesh, A. , Parvizi Mosaed، H. نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran ,
Abstract :
One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let G be a finite group. We denote by k(G) the largest order of elements of G. In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if G is a group with |G|=|Sz(q)| and k(G)=k(Sz(q)) where q-1 or q ±?2q+1 is a prime number, then G?Sz(q).
