University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 27 4 2016 11 01 A Characterization of the Suzuki Groups by Order and the Largest Elements Order 353 355 59341 EN B. Ebrahimzadeh Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran A. Iranmanesh Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran A. Tehranian Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran H. Parvizi Mosaed Alvand Institute of Higher Education, Hamedan, Islamic Republic of Iran Journal Article 2016 05 14 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  be a finite group. We denote by  the largest order of elements of . 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  is a group with  and  where  or  is a prime number, then . https://jsciences.ut.ac.ir/article_59341_f9c8456cea28b26ecfa01b951351fc76.pdf