A Characterization of the Suzuki Groups by Order and the Largest Elements Order

Authors

  • 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
  • B. Ebrahimzadeh 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
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 .

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Journal title

volume 27  issue 4

pages  353- 355

publication date 2016-11-01

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