Title of article
A Characterization of the Small Suzuki Groups by the Number of the Same Element Order
Author/Authors
Parvizi Mosaed، H. نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran , , Tehranian، A. نويسنده , , Iranmanesh، A. نويسنده Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran ,
Issue Information
فصلنامه با شماره پیاپی 0 سال 2015
Pages
7
From page
171
To page
177
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.
Journal title
Journal of Sciences
Serial Year
2015
Journal title
Journal of Sciences
Record number
2237721
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