1
Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran
2
Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran
3
Alvand Institute of Higher Education, Hamedan, Islamic Republic of 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 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 .
Ebrahimzadeh,B , Iranmanesh,A , Tehranian,A and Parvizi Mosaed,H . (2016). A Characterization of the Suzuki Groups by Order and the Largest Elements Order. Journal of Sciences, Islamic Republic of Iran, 27(4), 353-355.
MLA
Ebrahimzadeh,B , , Iranmanesh,A , , Tehranian,A , and Parvizi Mosaed,H . "A Characterization of the Suzuki Groups by Order and the Largest Elements Order", Journal of Sciences, Islamic Republic of Iran, 27, 4, 2016, 353-355.
HARVARD
Ebrahimzadeh B, Iranmanesh A, Tehranian A, Parvizi Mosaed H. (2016). 'A Characterization of the Suzuki Groups by Order and the Largest Elements Order', Journal of Sciences, Islamic Republic of Iran, 27(4), pp. 353-355.
CHICAGO
B Ebrahimzadeh, A Iranmanesh, A Tehranian and H Parvizi Mosaed, "A Characterization of the Suzuki Groups by Order and the Largest Elements Order," Journal of Sciences, Islamic Republic of Iran, 27 4 (2016): 353-355,
VANCOUVER
Ebrahimzadeh B, Iranmanesh A, Tehranian A, Parvizi Mosaed H. A Characterization of the Suzuki Groups by Order and the Largest Elements Order. J. Sci. I. R. I.. 2016;27(4):353-355.
Journal of Sciences, Islamic Republic of Iran