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Parvizi Mosaed, H., Iranmanesh, A., Tehranian, A.. (1394). A Characterization of the Small Suzuki Groups by the Number of the Same Element Order. , 26(2), 171-177.
H. Parvizi Mosaed; A. Iranmanesh; A. Tehranian. "A Characterization of the Small Suzuki Groups by the Number of the Same Element Order". , 26, 2, 1394, 171-177.
Parvizi Mosaed, H., Iranmanesh, A., Tehranian, A.. (1394). 'A Characterization of the Small Suzuki Groups by the Number of the Same Element Order', , 26(2), pp. 171-177.
Parvizi Mosaed, H., Iranmanesh, A., Tehranian, A.. A Characterization of the Small Suzuki Groups by the Number of the Same Element Order. , 1394; 26(2): 171-177.

A Characterization of the Small Suzuki Groups by the Number of the Same Element Order

Journal of Sciences, Islamic Republic of Iran
مقاله 8، دوره 26، شماره 2، شهریور 2015، صفحه 171-177    اصل مقاله (469.21 K)
نوع مقاله: Original Paper
نویسندگان
H. Parvizi Mosaed1؛ A. Iranmanesh* 2؛ A. Tehranian1
11Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran
22Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran
چکیده
Suppose that  is a finite group. Then the set of all prime divisors of  is denoted by  and the set of element orders of  is denoted by . Suppose that . Then the number of elements of order  in  is denoted by  and the sizes of the set of elements with the same order is denoted by ; that is, . In this paper, we prove that if  is a group such that , where , then . Here  denotes the family of Suzuki simple groups, , . This proves that the second and third member of the family of Suzuki simple groups are characterizable by the set of the number of the same element order.
کلیدواژه‌ها
Element order؛ Sylow subgroup؛ Simple -group؛ Suzuki group
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