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A Characterization of the Suzuki Groups by Order and the Largest Elements Order | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 6، دوره 27، شماره 4، بهمن 2016، صفحه 353-355 اصل مقاله (1.72 M) | ||
| نوع مقاله: Final File | ||
| نویسندگان | ||
| B. Ebrahimzadeh1؛ A. Iranmanesh* 2؛ A. Tehranian1؛ H. Parvizi Mosaed3 | ||
| 1Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran | ||
| 3Alvand Institute of Higher Education, Hamedan, Islamic Republic of Iran | ||
| چکیده | ||
| 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 . | ||
| کلیدواژهها | ||
| Largest elements order؛ Prime graph؛ Frobenius Group؛ Suzuki group | ||
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