1
1Department of Mathematics, Faculty of Basic Sciences, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran
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2Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran
Abstract
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.
Parvizi Mosaed,H , Iranmanesh,A and Tehranian,A . (2015). A Characterization of the Small Suzuki Groups by the Number of the Same Element Order. Journal of Sciences, Islamic Republic of Iran, 26(2), 171-177.
MLA
Parvizi Mosaed,H , , Iranmanesh,A , and Tehranian,A . "A Characterization of the Small Suzuki Groups by the Number of the Same Element Order", Journal of Sciences, Islamic Republic of Iran, 26, 2, 2015, 171-177.
HARVARD
Parvizi Mosaed H, Iranmanesh A, Tehranian A. (2015). 'A Characterization of the Small Suzuki Groups by the Number of the Same Element Order', Journal of Sciences, Islamic Republic of Iran, 26(2), pp. 171-177.
CHICAGO
H Parvizi Mosaed, A Iranmanesh and A Tehranian, "A Characterization of the Small Suzuki Groups by the Number of the Same Element Order," Journal of Sciences, Islamic Republic of Iran, 26 2 (2015): 171-177,
VANCOUVER
Parvizi Mosaed H, Iranmanesh A, Tehranian A. A Characterization of the Small Suzuki Groups by the Number of the Same Element Order. J. Sci. I. R. I.. 2015;26(2):171-177.
Journal of Sciences, Islamic Republic of Iran